{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":949,"total_is_capped":false,"direct_labels_cover":1,"predictions_cover":949,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"query_hash":"cb7f657810ed","filters":{"topic":"Mathematical Dynamics and Fractals"}},"results":[{"id":"W2593239046","doi":"10.1016/j.aim.2013.04.016","title":"Spectral property of Cantor measures with consecutive digits","year":2013,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":177,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Iterated function system; Exponential function; Completeness (order theory); Combinatorics; Iterated function; Zero (linguistics); Discrete mathematics; Mathematical analysis; Fractal","retraction":null,"screen_n_in":null,"score":{"opus":0.023334865468137,"gpt":0.2835765662462743,"spread":0.2602417007781372,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003005348,0.0002569339,0.0006339331,0.00009712922,0.00003518044,0.00003529607,0.000283541,0.00007705681,0.00025804],"category_scores_gemma":[0.0007521914,0.0001416202,0.00006929829,0.0002514042,0.0002537792,0.000412642,0.00005386656,0.0001792035,0.00003232887],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004859922,"about_ca_system_score_gemma":0.00005596833,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003245535,"about_ca_topic_score_gemma":0.0001440062,"domain_scores_codex":[0.9982249,0.00003890966,0.0006946631,0.0002305297,0.0004495904,0.0003614231],"domain_scores_gemma":[0.9980964,0.0008267083,0.0003545537,0.0004270402,0.0002027995,0.00009248787],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004159371,0.001626691,0.002432682,0.003139872,0.0001157077,0.00002694571,0.004684498,0.00007235422,0.001037055,0.9780448,0.000370736,0.008407064],"study_design_scores_gemma":[0.0005144707,0.0001501171,0.0002377383,0.000689251,0.00003414961,0.0000310141,0.00112334,0.006771966,0.001439235,0.9882712,0.0004236898,0.0003138362],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6836144,0.000704172,0.08302066,0.0003662638,0.0001432693,0.003375261,0.00005413648,0.0001944053,0.2285274],"genre_scores_gemma":[0.8268505,0.0001443486,0.1713593,0.00002795427,0.00002452501,0.0001371242,0.00000219955,0.00005270231,0.0014013],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2271261,"threshold_uncertainty_score":0.5775104,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1991942070","doi":"10.1007/s00222-003-0307-6","title":"Regular or stochastic dynamics in real analytic families of unimodal maps","year":2003,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":122,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Codimension; Quadratic equation; Probability measure; Invariant (physics); Pure mathematics; Measure (data warehouse); Mathematical analysis; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.0528905766814114,"gpt":0.3196599586032634,"spread":0.266769381921852,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00125391,0.0003255312,0.0008958072,0.0003960059,0.00006633285,0.00003772034,0.0003170377,0.0001849099,0.0004844106],"category_scores_gemma":[0.002353209,0.0002593156,0.0002487793,0.0007259194,0.0002212828,0.0001528365,0.00007335132,0.0002080152,0.00004695679],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000190939,"about_ca_system_score_gemma":0.00009730311,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002818943,"about_ca_topic_score_gemma":0.0003695778,"domain_scores_codex":[0.9971474,0.0001739429,0.001366536,0.0003444128,0.0005361535,0.0004314885],"domain_scores_gemma":[0.9973905,0.001109452,0.0004841363,0.0007462298,0.0001431937,0.0001264859],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000268674,0.0007735669,0.0001971207,0.001406112,0.00007277482,0.00001697771,0.0004223462,0.00004759431,0.00007111931,0.996715,0.0001025256,0.000148001],"study_design_scores_gemma":[0.0006556066,0.00008442561,0.00007216078,0.0005882083,0.0001088057,0.00004099727,0.001828556,0.06700399,0.0001074046,0.9292133,0.00001825227,0.0002782839],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7736518,0.00005329335,0.1735263,0.0001942564,0.0001969527,0.001345496,0.00008239342,0.0001771819,0.05077226],"genre_scores_gemma":[0.959986,0.00003026481,0.03692594,0.00001538481,0.00001807139,0.00007413938,0.00001600743,0.00007230583,0.002861939],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1863341,"threshold_uncertainty_score":0.9999859,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2138635487","doi":"10.1109/83.941851","title":"Fast fractal image encoding based on adaptive search","year":2001,"lang":"en","type":"article","venue":"IEEE Transactions on Image Processing","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":122,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Fractal compression; Fractal; Fractal transform; Affine transformation; Algorithm; Luminance; Encoding (memory); Computational complexity theory; Mathematics; Computer science; Offset (computer science); Image (mathematics); Image compression; Image processing; Artificial intelligence","retraction":null,"screen_n_in":null,"score":{"opus":0.04624231758666681,"gpt":0.3245277485494762,"spread":0.2782854309628094,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004467509,0.0003278684,0.0003570933,0.0002874484,0.0005127275,0.0002579525,0.000235253,0.0001350758,0.0007244963],"category_scores_gemma":[0.00006388024,0.0002949556,0.0001914976,0.0004529678,0.0001545444,0.0004983976,0.000002443915,0.000679432,0.0001813174],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001360157,"about_ca_system_score_gemma":0.000106131,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001020176,"about_ca_topic_score_gemma":0.000008176401,"domain_scores_codex":[0.9979112,0.0000814353,0.0004403134,0.0004518816,0.000602122,0.0005130265],"domain_scores_gemma":[0.9984806,0.0006386519,0.0001290058,0.000361737,0.000206603,0.0001834654],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.002401942,0.01412607,0.00004166232,0.003706112,0.0003440306,0.001125728,0.008090024,0.01326578,0.1603943,0.007941209,0.0007497429,0.7878134],"study_design_scores_gemma":[0.0008633776,0.0002652498,0.00001348189,0.0006647407,0.00008312221,0.00004113089,0.0006015839,0.959252,0.02335906,0.01429479,0.00005757266,0.0005039067],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01366879,0.000007847811,0.9571153,0.0003066661,0.00009888386,0.0003320693,0.00003549886,0.0002347957,0.02820018],"genre_scores_gemma":[0.9027032,0.00000609635,0.09626712,0.000235681,0.00006295617,0.00005422543,0.000001926229,0.00007924045,0.0005895316],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9459862,"threshold_uncertainty_score":0.9999502,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2080130699","doi":"10.1109/tip.2003.818038","title":"Fractal image denoising","year":2003,"lang":"en","type":"article","venue":"IEEE Transactions on Image Processing","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":117,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Fractal; Smoothing; Fractal transform; Gaussian noise; Mathematics; Fractal compression; Fractal analysis; Artificial intelligence; Image noise; Image processing; Median filter; Image restoration; Noise (video); Image compression; Algorithm; Computer vision; Noise reduction; Pattern recognition (psychology); Computer science; Image (mathematics); Fractal dimension; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.02841239414238289,"gpt":0.3108088287719159,"spread":0.282396434629533,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004069336,0.0002726097,0.0003162663,0.0001524129,0.00044092,0.0002925459,0.0001560336,0.0001193475,0.0006426641],"category_scores_gemma":[0.0001411251,0.000249934,0.0001623671,0.0003072687,0.0001227132,0.0005848294,0.000001100472,0.0004285024,0.0001501788],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007318314,"about_ca_system_score_gemma":0.0000792744,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003147922,"about_ca_topic_score_gemma":0.000004547724,"domain_scores_codex":[0.9983634,0.00007066733,0.0004505119,0.0003479226,0.0003517911,0.0004156791],"domain_scores_gemma":[0.9989148,0.0003201788,0.000153123,0.0003178173,0.0001475692,0.0001465195],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002664189,0.009388522,0.0000264641,0.006536708,0.0004896195,0.0004616694,0.008071789,0.000374123,0.5285954,0.06273194,0.001934266,0.3811231],"study_design_scores_gemma":[0.002055234,0.0002135999,0.00001382434,0.001051765,0.0004267004,0.0003992237,0.001311026,0.06038012,0.3769208,0.5539327,0.001528659,0.001766452],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02449261,0.00003755844,0.9526046,0.0000929629,0.000151735,0.0002152063,0.00001184448,0.0002219088,0.02217155],"genre_scores_gemma":[0.7876962,0.000005791661,0.211233,0.0001374921,0.00002782402,0.00003076621,5.848449e-7,0.00007164456,0.0007966282],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7632036,"threshold_uncertainty_score":0.9999953,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2074755411","doi":"10.1007/s00039-009-0003-9","title":"Arithmetic Progressions in Sets of Fractional Dimension","year":2009,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":104,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Hausdorff dimension; Mathematics; Dimension (graph theory); Measure (data warehouse); Arithmetic; Curse of dimensionality; Set (abstract data type); Minkowski–Bouligand dimension; Discrete mathematics; Term (time); Effective dimension; Hausdorff measure; Combinatorics; Fractal dimension; Fractal; Computer science; Mathematical analysis; Statistics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.03083809091202373,"gpt":0.2988941495161116,"spread":0.2680560586040879,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003630212,0.00009948295,0.0003216275,0.001645218,0.00004449946,0.00001698749,0.00003583884,0.00007135227,0.000408471],"category_scores_gemma":[0.0003482968,0.00007358375,0.0001567032,0.003984601,0.00003388829,0.00006191606,0.00002346626,0.0001241795,0.000009776682],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002141809,"about_ca_system_score_gemma":0.00001458733,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009834969,"about_ca_topic_score_gemma":0.000005714316,"domain_scores_codex":[0.9989532,0.00002156721,0.0003574303,0.0001961056,0.000342394,0.0001293498],"domain_scores_gemma":[0.9991179,0.0005131285,0.0001034876,0.0001183636,0.0000819607,0.00006515992],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001631628,0.003892455,0.08112027,0.0003814747,0.002540577,0.00004489774,0.000265008,0.001981213,0.0005240111,0.8179251,0.002977391,0.08818444],"study_design_scores_gemma":[0.0002521116,0.00009295656,0.3146226,0.00004061728,0.0008025257,0.00001002705,0.00005549077,0.08743917,0.00001578066,0.5964005,0.0001200714,0.0001481491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8663075,0.0007824332,0.1286196,0.000835928,0.00007164809,0.0001668442,0.00003083943,0.00003864129,0.003146588],"genre_scores_gemma":[0.9936835,0.000039688,0.005758745,0.00003896449,0.00001911642,0.000005527314,0.00002284668,0.000004229985,0.0004274399],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2335023,"threshold_uncertainty_score":0.4472471,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1968236965","doi":"10.1007/s10240-003-0007-1","title":"Hyperbolicity of renormalization of critical circle maps","year":2003,"lang":"fr","type":"article","venue":"Publications mathématiques de l IHÉS","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":103,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Renormalization; Mathematics; Mathematical physics","retraction":null,"screen_n_in":null,"score":{"opus":0.03319788367094519,"gpt":0.3279742031608673,"spread":0.2947763194899221,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001687966,0.0002582192,0.0006785322,0.0002836797,0.0001012336,0.00008616237,0.0004105342,0.000387491,0.001791817],"category_scores_gemma":[0.01097511,0.0002991042,0.0002311363,0.00080525,0.0005444496,0.0005016969,0.00008585503,0.0002714554,0.00005170522],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001261056,"about_ca_system_score_gemma":0.0002999409,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006833673,"about_ca_topic_score_gemma":0.00001830644,"domain_scores_codex":[0.9968084,0.0004737338,0.001487381,0.0002979043,0.0004315462,0.0005010872],"domain_scores_gemma":[0.9954429,0.001578092,0.0006558701,0.0009779111,0.001101656,0.0002436173],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003283259,0.001996595,0.0003959864,0.003891161,0.00005795237,6.847392e-7,0.001793579,0.00001971186,0.0005957269,0.986968,0.003189009,0.001088264],"study_design_scores_gemma":[0.0002298523,0.00008632152,0.001012154,0.0003947866,0.0002105406,0.0000639733,0.0002991917,0.01687782,0.006647194,0.9637812,0.0101117,0.0002852225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04341514,0.002002799,0.7083737,0.008547035,0.0003118501,0.0008711315,0.0005983163,0.0001611797,0.2357188],"genre_scores_gemma":[0.7881894,0.0003752942,0.2061352,0.0001468729,0.00005901243,0.0001166989,0.00006430023,0.0000790855,0.004834176],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7447742,"threshold_uncertainty_score":0.9999461,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1988277213","doi":"10.4153/cmb-2002-015-3","title":"Uniform Distribution in Model Sets","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":84,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Closure (psychology); Measure (data warehouse); Set (abstract data type); Point (geometry); Distribution (mathematics); Space (punctuation); Property (philosophy); Pure mathematics; Combinatorics; Discrete mathematics; Mathematical analysis; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.0439784226265355,"gpt":0.2600587343023127,"spread":0.2160803116757772,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0005437814,0.0002625466,0.0004448687,0.000148348,0.0001005879,0.00007135709,0.0003052391,0.0002243324,0.02182456],"category_scores_gemma":[0.001437786,0.0002385093,0.000119697,0.0002459837,0.00009812481,0.00005079949,0.00004425112,0.000327141,0.007836722],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000359462,"about_ca_system_score_gemma":0.00005078717,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001868978,"about_ca_topic_score_gemma":0.001393766,"domain_scores_codex":[0.9979659,0.00004385295,0.0006364951,0.0003068235,0.0003024612,0.0007445048],"domain_scores_gemma":[0.9982644,0.0004420262,0.0000870563,0.0004842922,0.00005832869,0.0006638587],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000203236,0.0001854532,0.00001560236,0.000199562,0.00001009201,0.0000573634,0.0002594783,0.00004557594,0.000005094191,0.9596933,0.03866847,0.0008579362],"study_design_scores_gemma":[0.0002115784,0.00001348406,0.00001176842,0.00009882393,0.00001206038,0.00002051858,0.00003956184,0.3787403,0.000005473499,0.6155545,0.005074307,0.0002176114],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2621931,0.0001219906,0.1395252,0.02478404,0.0001345132,0.001952624,0.0006130479,0.0003341213,0.5703413],"genre_scores_gemma":[0.9777722,0.00001388831,0.01477326,0.0005209188,0.00002961189,0.00007324509,0.0000337058,0.00005739577,0.006725726],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7155792,"threshold_uncertainty_score":0.9929358,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1509680213","doi":"10.1023/a:1008705614290","title":"Roots of Independence Polynomials of Well Covered Graphs","year":2000,"lang":"en","type":"article","venue":"Journal of Algebraic Combinatorics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":84,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Combinatorics; Cardinality (data modeling); Graph; Discrete mathematics; Independence (probability theory); Independence number","retraction":null,"screen_n_in":null,"score":{"opus":0.01690464497790049,"gpt":0.274882208049705,"spread":0.2579775630718045,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001181549,0.0001845495,0.0008676876,0.0002109225,0.00003383591,0.00001762656,0.0004975099,0.0001771843,0.00125502],"category_scores_gemma":[0.0006578054,0.0001522582,0.0003511053,0.0004127572,0.0001016589,0.0001751567,0.00005059015,0.000347194,0.000009584352],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000462988,"about_ca_system_score_gemma":0.0001376756,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001099163,"about_ca_topic_score_gemma":0.000001918708,"domain_scores_codex":[0.9971784,0.00009144544,0.001526709,0.000118093,0.0008640579,0.0002212897],"domain_scores_gemma":[0.996675,0.0009176515,0.00144011,0.0003573459,0.0004578839,0.0001520432],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001531068,0.001533189,0.001054183,0.0005647586,0.0002378255,0.00003578966,0.0003536784,0.0000171102,0.002872564,0.9888272,0.002088139,0.002262461],"study_design_scores_gemma":[0.001121404,0.0004533109,0.001450193,0.0002513665,0.0001125102,0.00008108423,0.00006150833,0.0002655581,0.003411417,0.9922129,0.000427479,0.0001512646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9874942,0.0002686319,0.0007246959,0.0001240392,0.0002718066,0.0001540093,0.00001255817,0.000008721897,0.01094139],"genre_scores_gemma":[0.9974915,0.0002178295,0.001588179,0.00002315771,0.00002784685,8.905575e-7,5.383396e-7,0.00002475781,0.0006252946],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0103161,"threshold_uncertainty_score":0.999658,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2126230451","doi":"10.1007/s10955-005-8668-4","title":"Renormalization in the Hénon Family, I: Universality But Non-Rigidity","year":2005,"lang":"en","type":"article","venue":"Journal of Statistical Physics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":83,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Universality (dynamical systems); Renormalization; Hausdorff dimension; Cantor set; Renormalization group; Fixed point; Mathematical physics; Pure mathematics; Mathematical analysis; Combinatorics; Physics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.04609804047632715,"gpt":0.3319686929698137,"spread":0.2858706524934865,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009346336,0.0001165949,0.0003040937,0.00003461341,0.00005158739,0.0000453572,0.0002455632,0.00005814799,0.00005729333],"category_scores_gemma":[0.0004670137,0.00007584278,0.00008027224,0.000164755,0.00008260363,0.0002222906,0.00002919589,0.0003511487,0.00001346104],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007972613,"about_ca_system_score_gemma":0.00005831967,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001047957,"about_ca_topic_score_gemma":0.000006604824,"domain_scores_codex":[0.9985301,0.0001255438,0.0005887421,0.00008510708,0.0004901551,0.0001803475],"domain_scores_gemma":[0.9980239,0.00123007,0.0003361473,0.0001784081,0.0001575124,0.00007398883],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003540282,0.0006384625,0.0001438771,0.00009387265,0.00002287687,0.0000360364,0.0006992531,0.0001472481,0.0002528284,0.9879482,0.004826581,0.00515533],"study_design_scores_gemma":[0.0005105095,0.0001100758,0.00468744,0.00006315961,0.00006464329,0.00001906021,0.0004042397,0.03655402,0.00004525752,0.9567382,0.0006821553,0.000121261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1568329,0.000008647591,0.8354805,0.0003335692,0.00006441485,0.0001197021,0.00004399678,0.000005696904,0.007110589],"genre_scores_gemma":[0.9546908,0.00002292181,0.04472527,0.0001953258,0.0002949818,0.000001027564,0.000004530842,0.00001222447,0.0000528911],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7978579,"threshold_uncertainty_score":0.3092779,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2171131875","doi":"10.1017/etds.2012.189","title":"A semi-invertible operator Oseledets theorem","year":2013,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":83,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Invertible matrix; Ergodic theory; Multiplicative function; Constructive; Pure mathematics; Stationary ergodic process; Operator (biology); Piecewise; Linear map; Discrete mathematics; Mathematical analysis; Invariant measure","retraction":null,"screen_n_in":null,"score":{"opus":0.01286418641994746,"gpt":0.2542767429106763,"spread":0.2414125564907288,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001457351,0.0003037665,0.0005678809,0.00006894055,0.0001902413,0.0002507037,0.000260351,0.0002348181,0.0008254168],"category_scores_gemma":[0.0007678627,0.000210137,0.0001140474,0.0001381946,0.00021386,0.0002068057,0.0001344261,0.0002645137,0.0003690095],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004647333,"about_ca_system_score_gemma":0.00002560277,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004338681,"about_ca_topic_score_gemma":0.000004075464,"domain_scores_codex":[0.9977449,0.0005087118,0.0005900356,0.0003954259,0.0002961794,0.0004647845],"domain_scores_gemma":[0.9972074,0.001763261,0.0001290463,0.000463049,0.00008420895,0.0003530045],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002789328,0.0001277513,0.0001019166,0.0002876056,0.00005597162,0.000007179887,0.000247009,0.000005209175,0.001138011,0.9965815,0.0007092024,0.0007107477],"study_design_scores_gemma":[0.0004111126,0.0000785105,0.000110944,0.0001807337,0.00003980779,0.00007615052,0.0004541811,0.1068042,0.00003768705,0.8909709,0.0005028656,0.0003329261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9141664,0.000449946,0.06523411,0.0001819352,0.0003517151,0.001023614,0.00002412391,0.0002545054,0.01831368],"genre_scores_gemma":[0.9938935,0.00002220765,0.0006585141,0.0001504931,0.0001272461,0.0001579358,0.000007236506,0.00004928208,0.004933561],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.106799,"threshold_uncertainty_score":0.9037735,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2132838208","doi":"10.1016/s0012-365x(02)00352-7","title":"Lattice animals and heaps of dimers","year":2002,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":83,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"University of Melbourne","keywords":"Bijection; Mathematics; Combinatorics; Algebraic number; Enumeration; Generating function; Constant (computer programming); Exponential growth; Discrete mathematics; Function (biology); Biology; Evolutionary biology","retraction":null,"screen_n_in":null,"score":{"opus":0.05433294052060191,"gpt":0.2997596365732926,"spread":0.2454266960526907,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004480699,0.0002453154,0.0006024268,0.00008498795,0.0000712796,0.00004202417,0.0002096658,0.0001149181,0.0006740434],"category_scores_gemma":[0.0008386488,0.0001957026,0.0001269677,0.000177315,0.0001856237,0.00009056058,0.0001216093,0.0001465883,0.00004566005],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001381557,"about_ca_system_score_gemma":0.000005156704,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003285816,"about_ca_topic_score_gemma":0.000002232648,"domain_scores_codex":[0.9983519,0.00003970623,0.0007073355,0.0002288804,0.0003660385,0.0003060886],"domain_scores_gemma":[0.9979352,0.001018649,0.0003259488,0.0004979441,0.00007682294,0.0001454485],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003857052,0.0002571989,0.00007600278,0.001527386,0.00008320154,0.000005974244,0.002838266,6.19997e-7,0.000980899,0.9926358,0.0008299165,0.0007608972],"study_design_scores_gemma":[0.0004356815,0.0001197086,0.00006668603,0.0002934567,0.0001742907,0.00004213316,0.0008945296,0.07029293,0.0006703076,0.9261636,0.0004854113,0.0003613185],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.826948,0.0008335949,0.03634686,0.0008367025,0.0001114535,0.000964381,0.0001062023,0.0002129852,0.1336398],"genre_scores_gemma":[0.8546536,0.0001202221,0.1437763,0.00004703032,0.00003217603,0.00001763392,0.000002216672,0.00006221066,0.001288611],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1323512,"threshold_uncertainty_score":0.798052,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2105189427","doi":"10.1017/etds.2012.171","title":"Leaf conjugacies on the torus","year":2013,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":76,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Diffeomorphism; Mathematics; Torus; Automorphism; Pure mathematics; Conjugate; Simple (philosophy); Mathematical analysis; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.02173944275926589,"gpt":0.2571659438790347,"spread":0.2354265011197688,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001275144,0.0002047876,0.0003361377,0.00003287175,0.000207492,0.0001854514,0.0002195919,0.0001310589,0.0006084938],"category_scores_gemma":[0.001006534,0.0001082722,0.00008627618,0.00007164094,0.0002571621,0.00007659494,0.00007690087,0.0002364895,0.0003165051],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002625243,"about_ca_system_score_gemma":0.000009395077,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002532017,"about_ca_topic_score_gemma":0.000002348893,"domain_scores_codex":[0.9984076,0.0004386706,0.0003739212,0.0002348746,0.0002513222,0.0002936349],"domain_scores_gemma":[0.994491,0.004799141,0.0001089018,0.0004166896,0.0000434744,0.0001407301],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002059734,0.00007041095,0.00002412247,0.00009701891,0.00003390638,0.000002491952,0.0001919612,0.000003777288,0.0001622016,0.9975492,0.001379868,0.000464496],"study_design_scores_gemma":[0.0001733498,0.00008587119,0.0001618488,0.0001293452,0.00002195239,0.00002624394,0.0007603407,0.02732486,0.00001015097,0.9698327,0.001286396,0.0001869914],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9422904,0.0002253913,0.01648107,0.001122701,0.0003822396,0.0009624845,0.00002016253,0.0001504365,0.03836508],"genre_scores_gemma":[0.9934,0.00001272018,0.00009987188,0.0002705912,0.00009971966,0.0001289004,0.000002395538,0.00002438228,0.005961368],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05110962,"threshold_uncertainty_score":0.666258,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963451602","doi":"10.1017/etds.2015.83","title":"Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy","year":2016,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":73,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Consejo Nacional de Ciencia y Tecnología","keywords":"Equicontinuity; Mathematics; Topological entropy; Ergodic theory; Measure (data warehouse); Dynamical systems theory; Entropy (arrow of time); Haar measure; Topology (electrical circuits); Spectrum (functional analysis); Sequence (biology); Pure mathematics; Discrete mathematics; Combinatorics","retraction":null,"screen_n_in":null,"score":{"opus":0.02360910172304696,"gpt":0.2646712070091788,"spread":0.2410621052861318,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002085248,0.0002361446,0.0005694758,0.00005131831,0.0001348791,0.00005765224,0.0001132475,0.0002081699,0.00005438933],"category_scores_gemma":[0.001273106,0.0001147687,0.00004997682,0.00007260555,0.001592555,0.0001325657,0.0001197997,0.0002166472,0.000002592462],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002962965,"about_ca_system_score_gemma":0.00001697306,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004127063,"about_ca_topic_score_gemma":0.00001200811,"domain_scores_codex":[0.9980361,0.0004969849,0.0004975753,0.0003637774,0.0002813554,0.0003241755],"domain_scores_gemma":[0.9959015,0.00335611,0.0001806326,0.0002724224,0.00003893521,0.0002503855],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002670642,0.00004956962,0.004853211,0.0002093023,0.00004793638,0.000008087485,0.0001243263,2.451344e-7,0.000926157,0.993178,0.000002491201,0.0003335808],"study_design_scores_gemma":[0.0007076352,0.000288406,0.002148704,0.0004884858,0.00007894057,0.000199031,0.0003074337,0.003332936,0.00003430073,0.9921782,0.00001706581,0.0002188888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8066862,0.0002009919,0.1905394,0.0004925642,0.00003614324,0.0003645511,0.0000459167,0.00004939992,0.001584884],"genre_scores_gemma":[0.9988301,0.00005568251,0.0007835121,0.00001082125,0.00003456272,0.00002187705,0.000002039103,0.00002046569,0.0002409171],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1921439,"threshold_uncertainty_score":0.5867835,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2043940684","doi":"10.1017/s0143385709000339","title":"Coherent structures and isolated spectrum for Perron–Frobenius cocycles","year":2009,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Ergodic theory; Dynamical systems theory; Bounded function; Multiplicative function; Spectrum (functional analysis); Invariant (physics); Lyapunov function; Affine transformation; Markov chain","retraction":null,"screen_n_in":null,"score":{"opus":0.01449440906323646,"gpt":0.2801662849570727,"spread":0.2656718758938362,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007061276,0.000257473,0.0005203729,0.000053718,0.00017892,0.0001288444,0.0001234433,0.0001963825,0.00005116201],"category_scores_gemma":[0.0002910932,0.0001867201,0.00008618678,0.000054473,0.0001274418,0.00006808413,0.00003977344,0.0001663008,0.000002680894],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003040478,"about_ca_system_score_gemma":0.00001140814,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001017315,"about_ca_topic_score_gemma":0.00001258026,"domain_scores_codex":[0.9985414,0.0001704269,0.0004492422,0.0003384406,0.000161213,0.0003392576],"domain_scores_gemma":[0.9982576,0.001133537,0.000138239,0.0002406126,0.00002829995,0.000201667],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002125283,0.00008063594,0.00003066118,0.0002799383,0.00004478855,0.00000453551,0.0002817357,0.000009765389,0.000485579,0.9970528,0.00008965905,0.001427391],"study_design_scores_gemma":[0.0005918397,0.0002643118,0.0004791614,0.0001057546,0.00006572117,0.0000791433,0.000292929,0.1035574,0.00001081932,0.8941503,0.000163727,0.0002389512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8237953,0.001042582,0.1724875,0.0002599045,0.0002185562,0.0009641181,0.00007779609,0.0001423073,0.001012013],"genre_scores_gemma":[0.9979909,0.00003222764,0.0009913375,0.00006590656,0.0001085734,0.00002508538,0.00001423162,0.00002462809,0.0007471016],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1741956,"threshold_uncertainty_score":0.7614225,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1767588846","doi":"10.1090/conm/469/09160","title":"Dynamical determinants and spectrum for hyperbolic diffeomorphisms","year":2008,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Rehabilitation Institute","funders":"Japan Society for the Promotion of Science; Institut Henri Poincaré","keywords":"Mathematics; Transfer operator; Dynamical systems theory; Spectrum (functional analysis); Eigenvalues and eigenvectors; Operator (biology); Essential spectrum; Spectral radius; Pure mathematics; Mathematical analysis; Dynamical system (definition); Bijection; Fredholm operator; Transfer (computing); Discrete mathematics; Compact operator; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.04460460275208177,"gpt":0.3037299446924237,"spread":0.2591253419403419,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.0008574965,0.001643338,0.004166993,0.0002414229,0.0003171937,0.0001755713,0.0009558793,0.0008860533,0.0007472353],"category_scores_gemma":[0.001250189,0.001366631,0.001370471,0.0004326707,0.002378609,0.0001259994,0.0005147206,0.0008125339,0.0001571027],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000156187,"about_ca_system_score_gemma":0.0002182964,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000424201,"about_ca_topic_score_gemma":0.00001761461,"domain_scores_codex":[0.9940966,0.0001286929,0.002054295,0.001377582,0.001046286,0.001296556],"domain_scores_gemma":[0.9917396,0.003633896,0.00203293,0.001714817,0.0001006314,0.000778136],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004137799,0.002644853,0.00008336563,0.01315235,0.001316849,0.00007806707,0.002367374,1.611282e-7,0.00007283782,0.2919007,0.6870372,0.001304919],"study_design_scores_gemma":[0.002115031,0.0005667109,0.00001774231,0.002564688,0.0006584688,0.00040589,0.001086893,0.05986664,0.00004048535,0.8742971,0.05554056,0.002839746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.006072428,0.001752504,0.5019618,0.001330989,0.0004986968,0.0105774,0.002002308,0.002864522,0.4729394],"genre_scores_gemma":[0.01586589,0.001329501,0.6230797,0.0007009575,0.001051098,0.001473036,0.0001866862,0.00459296,0.3517201],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.6314966,"threshold_uncertainty_score":0.9996314,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2158759047","doi":"10.1109/tip.2002.999669","title":"Fractal image compression with region-based functionality","year":2002,"lang":"en","type":"article","venue":"IEEE Transactions on Image Processing","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":68,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Moncton; Université de Sherbrooke","funders":"","keywords":"Fractal compression; Fractal transform; Computer science; Artificial intelligence; Codebook; Image compression; Fractal; Computer vision; Pattern recognition (psychology); Data compression; Image segmentation; Coding (social sciences); Fractal analysis; Quadtree; Image processing; Segmentation; Mathematics; Image (mathematics); Fractal dimension","retraction":null,"screen_n_in":null,"score":{"opus":0.04867821057759245,"gpt":0.2898785416531117,"spread":0.2412003310755192,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001726688,0.0002870654,0.0003161481,0.0001351308,0.0004944158,0.0001932216,0.0001610388,0.0001141775,0.001059394],"category_scores_gemma":[0.00003480993,0.0002220542,0.0001325067,0.0003063471,0.0002037991,0.0004856118,0.000001391219,0.0004417701,0.00009049696],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007209864,"about_ca_system_score_gemma":0.00003873216,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006109206,"about_ca_topic_score_gemma":0.000005750212,"domain_scores_codex":[0.9983402,0.00006221137,0.0003928553,0.0003915113,0.000488321,0.0003248529],"domain_scores_gemma":[0.9986441,0.0004109403,0.0002032268,0.0003722312,0.0002215164,0.000147971],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.003381392,0.04343774,0.0002885879,0.01840076,0.001007095,0.00130068,0.00685096,0.008070336,0.09589698,0.008431306,0.02203825,0.7908959],"study_design_scores_gemma":[0.002226268,0.0002986604,0.00005271306,0.001186515,0.0002445813,0.0001345012,0.0002105222,0.9524961,0.01797141,0.02373624,0.0005521369,0.0008904252],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01176909,0.00002615969,0.9797465,0.0005803837,0.0000838653,0.0002773761,0.00002118598,0.0002855495,0.007209891],"genre_scores_gemma":[0.9057512,0.000003566941,0.09291897,0.0002701642,0.00004492555,0.00006619925,0.000002466609,0.00006171843,0.0008807947],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9444257,"threshold_uncertainty_score":0.9998538,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2164906092","doi":"10.4171/jems/211","title":"Uniqueness of Brownian motion on Sierpi&amp;#324ski carpets","year":2010,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":65,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Uniqueness; Brownian motion; Dirichlet form; Dirichlet distribution; Fractal; Invariant (physics); Homogeneous space; Laplace operator","retraction":null,"screen_n_in":null,"score":{"opus":0.034346438981984,"gpt":0.2942153871896759,"spread":0.2598689482076919,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003840845,0.0002503762,0.0006021984,0.0000423114,0.0001305655,0.00005531305,0.0008680563,0.0001285616,0.000294183],"category_scores_gemma":[0.002636374,0.0001426667,0.0009664112,0.0002209802,0.0002633453,0.0001077562,0.0001914822,0.0009975353,0.00005413749],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004495341,"about_ca_system_score_gemma":0.0000434551,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.14262e-7,"about_ca_topic_score_gemma":0.00000154168,"domain_scores_codex":[0.9971582,0.0003701702,0.001214097,0.0001585113,0.000817397,0.0002816314],"domain_scores_gemma":[0.9964739,0.001130822,0.001154905,0.0007367445,0.0003138113,0.0001898278],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005128635,0.002723678,0.0002143417,0.001665285,0.0004570167,0.00001844554,0.004414856,0.00003630943,0.0602931,0.9131306,0.01253682,0.004458217],"study_design_scores_gemma":[0.0006920215,0.0001190269,0.001572515,0.0006508098,0.0002133516,0.000208785,0.0002048846,0.001229606,0.002561917,0.9904065,0.001865696,0.0002749045],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8852994,0.00001052692,0.06294683,0.00133923,0.0005167586,0.0003313184,0.00001587404,0.00003765752,0.04950236],"genre_scores_gemma":[0.9310571,0.00001013727,0.06714337,0.000185863,0.0003364821,0.000001405937,5.944584e-7,0.00007802629,0.001187043],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07727583,"threshold_uncertainty_score":0.5817778,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1612598938","doi":"10.1090/s0894-0347-00-00348-9","title":"Mating Siegel quadratic polynomials","year":2000,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":62,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Algorithm; Annotation; Type (biology); Computer science; Mathematics; Artificial intelligence; Biology","retraction":null,"screen_n_in":null,"score":{"opus":0.02238080361503348,"gpt":0.3063786283291106,"spread":0.2839978247140771,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001775866,0.0002852854,0.001047787,0.0000292896,0.0002186015,0.0001073687,0.0008510806,0.00007795192,0.003047595],"category_scores_gemma":[0.001382111,0.0001611979,0.001254552,0.0004405889,0.0005074937,0.0001625707,0.0001069825,0.0005617537,0.0001663909],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001148647,"about_ca_system_score_gemma":0.00008338727,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003287283,"about_ca_topic_score_gemma":6.567507e-7,"domain_scores_codex":[0.9968563,0.0002140054,0.001453718,0.0001704501,0.0008602972,0.0004452018],"domain_scores_gemma":[0.9955006,0.002045964,0.0015012,0.0005881684,0.0001407588,0.0002233134],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004689107,0.007795769,0.00139708,0.004203799,0.004112086,0.00009564289,0.02462114,0.0003985793,0.01784543,0.5813192,0.2179912,0.1397512],"study_design_scores_gemma":[0.0004317047,0.0001605824,0.000335245,0.0003664127,0.0002485181,0.0003106648,0.000974685,0.01059018,0.0002774365,0.9851361,0.000880995,0.0002875037],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9632366,0.00004961649,0.01906035,0.004201619,0.0001055999,0.0003350268,0.000008926055,0.00004852,0.01295369],"genre_scores_gemma":[0.752739,0.00009481613,0.2403206,0.001873,0.0004937999,0.00001181377,3.574863e-7,0.0001017056,0.004364965],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4038169,"threshold_uncertainty_score":0.9978638,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1994418573","doi":"10.1007/s12220-010-9168-6","title":"About the Blowup of Quasimodes on Riemannian Manifolds","year":2010,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":61,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"","keywords":"Riemannian manifold; Eigenfunction; Geodesic; Mathematics; Manifold (fluid mechanics); Dimension (graph theory); Mathematical analysis; Upper and lower bounds; Lambda; Torus; Combinatorics; Pure mathematics; Physics; Geometry; Eigenvalues and eigenvectors; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.0278380759346216,"gpt":0.3190065455916439,"spread":0.2911684696570223,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001984184,0.000148721,0.0007429473,0.001793599,0.00007774381,0.0000491812,0.0005316142,0.0001084994,0.00067203],"category_scores_gemma":[0.003338968,0.00008127848,0.000879069,0.004067279,0.00008560315,0.00007679207,0.00004388286,0.0004765372,0.00001135972],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001949293,"about_ca_system_score_gemma":0.00004041186,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001402356,"about_ca_topic_score_gemma":0.00002567891,"domain_scores_codex":[0.9978237,0.00006422063,0.001006631,0.0001109794,0.0008047771,0.0001896679],"domain_scores_gemma":[0.995699,0.001952652,0.00128499,0.0004946441,0.0004182383,0.0001504946],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000330907,0.005607619,0.0469515,0.0007288748,0.02345463,0.0002046143,0.002738059,0.001365712,0.002053448,0.8561092,0.008682829,0.05177262],"study_design_scores_gemma":[0.002740608,0.002324986,0.06217556,0.0003272761,0.02490106,0.0002583195,0.002798701,0.09925637,0.002432432,0.7944018,0.007114266,0.001268607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9392877,0.0001232444,0.05382397,0.0004228918,0.0001191579,0.00007618043,0.000009137672,0.000006603413,0.006131136],"genre_scores_gemma":[0.992247,0.00006806016,0.006772039,0.00006483881,0.0001203399,0.000001155084,8.088492e-7,0.00001406231,0.0007116807],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09789065,"threshold_uncertainty_score":0.7358257,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1976867052","doi":"10.1515/crll.2005.2005.585.61","title":"Canonical heights, transfinite diameters, and polynomial dynamics","year":2005,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":60,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Transfinite number; Mathematics; Generalization; Polynomial; Julia set; Zero (linguistics); Product (mathematics); Simple (philosophy); Field (mathematics); Degree (music); Function (biology); Pure mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.02035716133690249,"gpt":0.3007824092269621,"spread":0.2804252478900596,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.004222007,0.001672657,0.002993164,0.0009379988,0.001803949,0.002703797,0.001301243,0.0009927996,0.001465107],"category_scores_gemma":[0.00129449,0.00128343,0.001632717,0.0004822289,0.0006562102,0.001107773,0.0003852643,0.004494765,0.0003438555],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001032313,"about_ca_system_score_gemma":0.0006193623,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001929436,"about_ca_topic_score_gemma":0.0002215607,"domain_scores_codex":[0.9898492,0.0007174328,0.004528111,0.0008897147,0.001940598,0.002075004],"domain_scores_gemma":[0.9906058,0.002581416,0.002800104,0.0009880833,0.0006373727,0.002387178],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.003695576,0.01695236,0.0005984966,0.01298594,0.03088011,0.01328863,0.04377364,0.0007712083,0.004098129,0.3778923,0.1465281,0.3485356],"study_design_scores_gemma":[0.01292682,0.002551613,0.0000701238,0.009072836,0.009250332,0.02301653,0.002845571,0.1418639,0.0008922662,0.4081845,0.3844984,0.004827136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"review","genre_gemma":"review","genre_scores_codex":[0.3304619,0.3440149,0.2294824,0.05833017,0.007156532,0.003424023,0.00124919,0.0004441642,0.02543675],"genre_scores_gemma":[0.3387955,0.3969964,0.2085311,0.002125554,0.02715741,0.00005510549,0.0001188,0.001620103,0.02460003],"genre_candidate":"review","genre_consensus":"review","teacher_disagreement_score":0.3437084,"threshold_uncertainty_score":0.999602,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1723875456","doi":"10.4310/jdg/1242134368","title":"Tau-functions on spaces of Abelian differentials and higher genus generalizations of Ray-Singer formula","year":2009,"lang":"en","type":"article","venue":"Journal of Differential Geometry","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Genus; Riemann surface; Holonomy; Abelian group; Holomorphic function; Pure mathematics; Compact Riemann surface; Conical surface; Factorization; Laplace operator; Algebra over a field; Combinatorics; Mathematical analysis; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.03037797758293716,"gpt":0.2969434106398957,"spread":0.2665654330569586,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002335133,0.0002018587,0.0007299323,0.0005188418,0.00006872691,0.0000470116,0.0001780655,0.0001383626,0.0005611635],"category_scores_gemma":[0.0002616228,0.0001457651,0.0002722659,0.0003052819,0.00006558363,0.0001180779,0.00003849409,0.0001998547,0.000002204686],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002146499,"about_ca_system_score_gemma":0.00002335652,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003687919,"about_ca_topic_score_gemma":0.000002386116,"domain_scores_codex":[0.9980816,0.00006221206,0.001015352,0.0001312501,0.0005058313,0.0002037991],"domain_scores_gemma":[0.9980113,0.0002885392,0.001046392,0.0002457385,0.0002667134,0.0001413509],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0007582328,0.01291039,0.005701701,0.0024437,0.002723882,0.00003946872,0.001840237,0.0003955715,0.2850489,0.6213451,0.01531243,0.05148041],"study_design_scores_gemma":[0.0106374,0.007104049,0.2511382,0.003175589,0.004062373,0.0001603042,0.0006061574,0.007129159,0.04527567,0.6661916,0.002629516,0.001890013],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9343138,0.0001722581,0.06398684,0.0003050459,0.0004007746,0.0001305985,0.00005113592,0.000009168047,0.0006303256],"genre_scores_gemma":[0.9950997,0.0001079649,0.003675933,0.00003247686,0.0002181332,9.849766e-7,0.000006112537,0.00002007844,0.0008385772],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2454365,"threshold_uncertainty_score":0.6144347,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2120340042","doi":"10.1006/jfan.2000.3581","title":"Gradients on Fractals","year":2000,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Mathematical analysis; Harmonic function; Hausdorff measure; Bernoulli's principle; Laplace operator; Harmonic; Fractal; Multifractal system; Function (biology); Balanced flow; Degenerate energy levels; Pure mathematics; Hausdorff dimension; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.03730308297699995,"gpt":0.2955134610468723,"spread":0.2582103780698723,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005349789,0.0001163642,0.0004386256,0.00035452,0.00007049157,0.00003407635,0.0001287208,0.00005661712,0.01305144],"category_scores_gemma":[0.0004161306,0.00007984164,0.0006884736,0.0005904178,0.00002579718,0.0001129633,0.00000753309,0.0001967527,0.0001382745],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004611248,"about_ca_system_score_gemma":0.00002630266,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000202541,"about_ca_topic_score_gemma":0.000001852481,"domain_scores_codex":[0.9984444,0.00004690148,0.0006216334,0.0001056542,0.0006440704,0.0001373821],"domain_scores_gemma":[0.9986088,0.0005192304,0.000347592,0.0001673973,0.0001866789,0.0001703003],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.002385041,0.01122531,0.01721556,0.0002457279,0.04250361,0.0004796753,0.0008470457,0.039341,0.001532925,0.6569281,0.1307548,0.09654125],"study_design_scores_gemma":[0.001073523,0.0005475944,0.02437741,0.00007638254,0.004885621,0.0001300642,0.00007453337,0.02735618,0.0001114645,0.9258261,0.01515051,0.0003906185],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9477192,0.00003724411,0.02476189,0.00104965,0.0001441508,0.00005328114,0.0000152987,0.00001441358,0.02620487],"genre_scores_gemma":[0.9889057,0.00003450335,0.00280674,0.0003773638,0.0002487027,0.000001458037,0.000005356722,0.0000119262,0.007608227],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.268898,"threshold_uncertainty_score":0.9878508,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2336476235","doi":"10.1007/978-0-387-21830-4_20","title":"Absolutely Continuous Invariant Measures for Piecewise Expanding C 2 Transformations in R N","year":2004,"lang":"en","type":"book-chapter","venue":"","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":58,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Bounded function; Absolute continuity; Combinatorics; Piecewise; Partition (number theory); Invariant (physics); Tangent; Norm (philosophy); Discrete mathematics; Pure mathematics; Mathematical analysis; Geometry; Mathematical physics","retraction":null,"screen_n_in":null,"score":{"opus":0.06906778004654374,"gpt":0.3043325819229638,"spread":0.2352648018764201,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005944151,0.0004057777,0.0008574837,0.0002685196,0.00008570543,0.00008315808,0.0002410332,0.000450535,0.0009937726],"category_scores_gemma":[0.0002600917,0.0003452642,0.0003332302,0.00003284533,0.00005565012,0.000126826,0.00003112014,0.0003256332,0.0000551751],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001723291,"about_ca_system_score_gemma":0.0001197137,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001827172,"about_ca_topic_score_gemma":0.0003017938,"domain_scores_codex":[0.997981,0.000009263678,0.001015153,0.0003026965,0.0003300896,0.0003618424],"domain_scores_gemma":[0.9984826,0.0006678165,0.0002572212,0.0003578216,0.0001169975,0.0001175161],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001574953,0.00007324295,3.469424e-7,0.0005481289,0.00006889954,0.000009116342,0.0004931278,0.000005655259,0.00001972369,0.9962743,0.0007957848,0.001695945],"study_design_scores_gemma":[0.0008866541,0.00005867211,0.000001414152,0.00077376,0.0001079119,0.00001108531,0.00004599461,0.00104959,0.00002528214,0.98928,0.007328415,0.0004312395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00004659436,0.00008771035,0.2549033,0.0002833579,0.00009935055,0.001559891,0.0001646727,0.0001025453,0.7427526],"genre_scores_gemma":[0.06725263,0.0005316202,0.1378739,0.0004662061,0.0003622515,0.0006572502,0.0002585181,0.000515294,0.7920824],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.1170294,"threshold_uncertainty_score":0.9999195,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W206532914","doi":"10.1006/jfan.1999.3500","title":"Brownian Motion Penetrating Fractals","year":2000,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":55,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"University of British Columbia","keywords":"Mathematics; Hausdorff dimension; Brownian motion; Fractal; Fractional Brownian motion; Besov space; Diffusion process; Dirichlet form; Lipschitz continuity; Space (punctuation); Pure mathematics; Motion (physics); Mathematical analysis; Order (exchange); Sierpinski carpet; Fractal dimension; Dirichlet distribution; Sierpinski triangle; Interpolation space; Classical mechanics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.03544004754254408,"gpt":0.2862862805696174,"spread":0.2508462330270733,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007987824,0.0001200607,0.0004214325,0.000311258,0.00009887702,0.00006094207,0.0001193371,0.00007148799,0.01446852],"category_scores_gemma":[0.0003224464,0.00008937916,0.0006296324,0.000636333,0.00002584823,0.0002312303,0.000009220629,0.0002124,0.00005530279],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004686491,"about_ca_system_score_gemma":0.00002800178,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005444225,"about_ca_topic_score_gemma":0.00000814996,"domain_scores_codex":[0.9982835,0.00006355164,0.0007945406,0.0001128009,0.0005999589,0.0001456485],"domain_scores_gemma":[0.9985468,0.0004373402,0.0004791603,0.0001494982,0.0002677905,0.0001193702],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001346195,0.008535799,0.07203886,0.000732287,0.04659794,0.0004744495,0.002329557,0.08232474,0.02603168,0.3716921,0.03266875,0.3552276],"study_design_scores_gemma":[0.001178761,0.0003341331,0.09615941,0.00009809275,0.007251184,0.0003267617,0.0002815288,0.1353533,0.0002764378,0.7547159,0.003429618,0.0005949277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8155336,0.00006399537,0.1693864,0.0006369017,0.00009483651,0.00005339347,0.00000943659,0.00001731073,0.01420411],"genre_scores_gemma":[0.9866965,0.00002325541,0.009706485,0.0001103442,0.0003065552,0.000001283289,0.000006978325,0.00001126737,0.003137346],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3830237,"threshold_uncertainty_score":0.9864324,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2170867015","doi":"10.1007/s004540010083","title":"Lattice substitution systems and model sets","year":2001,"lang":"en","type":"article","venue":"Discrete & Computational Geometry","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":54,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Lattice (music); Combinatorics; Substitution (logic); Partition (number theory); Discrete mathematics; Computer science; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.04483498335996422,"gpt":0.3233671858255259,"spread":0.2785322024655617,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000306134,0.0001483431,0.0002280127,0.0001272977,0.0001240084,0.0000983775,0.00009593059,0.00007798043,0.0000416583],"category_scores_gemma":[0.0002128479,0.0001306424,0.00005294172,0.0002398879,0.00006824867,0.000161367,0.0000569156,0.0001145592,0.00003325266],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003200274,"about_ca_system_score_gemma":0.0000267191,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007455405,"about_ca_topic_score_gemma":0.000001176756,"domain_scores_codex":[0.998858,0.00003110314,0.0003245213,0.0002258866,0.000359865,0.0002006256],"domain_scores_gemma":[0.9989828,0.0005313447,0.0001131482,0.000147939,0.0001110287,0.0001137739],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001043236,0.00005993458,0.0005619887,0.000149,0.00003419778,0.000009094044,0.00008917952,0.04373822,0.00001121539,0.9548236,0.000165466,0.0003476373],"study_design_scores_gemma":[0.0001546157,0.00001044809,0.0008688632,0.00003392933,0.00001965934,0.00003953349,0.00003245859,0.6048188,5.266211e-7,0.393827,0.00009002961,0.0001040953],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5010795,0.0001148329,0.4934493,0.000120498,0.0000587857,0.0001581242,0.00003458656,0.00005839359,0.004925981],"genre_scores_gemma":[0.9657652,0.00001681484,0.03350822,0.00007457154,0.00004057445,0.00001347923,0.00006192971,0.00001870135,0.000500473],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5610806,"threshold_uncertainty_score":0.5327443,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2047331334","doi":"10.1007/s00208-005-0728-1","title":"The Ruelle-Sullivan map for actions of ℝn","year":2006,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Ergodic theory; Homomorphism; Probability measure; Equivariant map; Invariant (physics); Compact space; Invariant measure; Pure mathematics; Measure (data warehouse); Metric space; Discrete mathematics; Algebra over a field","retraction":null,"screen_n_in":null,"score":{"opus":0.04772629508303183,"gpt":0.3136309990197851,"spread":0.2659047039367533,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001637111,0.0005496123,0.0009783481,0.0001242203,0.0006715959,0.000230594,0.0008337141,0.0002809327,0.0004906568],"category_scores_gemma":[0.0008705664,0.0003899299,0.0007572971,0.0002733892,0.0003897787,0.0001550586,0.000212349,0.0003636435,0.0006431259],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005086847,"about_ca_system_score_gemma":0.0001045483,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002982191,"about_ca_topic_score_gemma":0.0000580706,"domain_scores_codex":[0.9961343,0.0001257768,0.001776585,0.0004737869,0.0006511786,0.0008383163],"domain_scores_gemma":[0.9922703,0.004621772,0.001165158,0.001360591,0.0004440348,0.0001381538],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008283874,0.001051589,0.00001622054,0.003554351,0.0004725107,0.000003375347,0.0004429948,0.00001333534,0.0006824742,0.849933,0.1416594,0.002087888],"study_design_scores_gemma":[0.0007528575,0.0001824798,0.00003869797,0.0005478688,0.0006182073,0.000009337228,0.0003709474,0.03042805,0.001084078,0.7206212,0.2448844,0.0004618604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0307861,0.04515784,0.7787466,0.02125364,0.005456135,0.01253665,0.002977112,0.0005881356,0.1024978],"genre_scores_gemma":[0.4175187,0.003872952,0.2811703,0.0004381276,0.005690822,0.002140535,0.0005461893,0.001119588,0.2875028],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4975762,"threshold_uncertainty_score":0.9998553,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2119347997","doi":"10.1016/j.jmaa.2007.05.005","title":"Chaos induced by regular snap-back repellers","year":2007,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Homoclinic orbit; CHAOS (operating system); Metric space; Point (geometry); Periodic orbits; Metric (unit); Pure mathematics; Discrete mathematics; Mathematical analysis; Geometry; Bifurcation","retraction":null,"screen_n_in":null,"score":{"opus":0.02540915456558405,"gpt":0.3119200082324659,"spread":0.2865108536668818,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002091417,0.0001977361,0.000794078,0.0002998139,0.0001151494,0.0000708352,0.0002694289,0.0001414812,0.0005444332],"category_scores_gemma":[0.0003390127,0.0001415059,0.0004315969,0.0008540277,0.00009933132,0.0001017782,0.00005677376,0.0002701124,0.00003815924],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003473144,"about_ca_system_score_gemma":0.00001912894,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001778454,"about_ca_topic_score_gemma":0.000003795521,"domain_scores_codex":[0.997624,0.00003925541,0.001365534,0.0002057857,0.0004944145,0.0002709597],"domain_scores_gemma":[0.9971121,0.001077715,0.0008146189,0.0004173518,0.0002467641,0.000331436],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002810581,0.001439183,0.0001639502,0.0003535472,0.001965072,0.000008263032,0.0003604468,0.000003976485,0.009796767,0.9740531,0.002775959,0.009051571],"study_design_scores_gemma":[0.0003730851,0.00008286406,0.0001546335,0.00006103384,0.001794891,0.00005592477,0.0003806665,0.002827301,0.001334835,0.9887724,0.003905993,0.000256367],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.131515,0.0001045659,0.8606946,0.0008072971,0.00001095946,0.0002727069,0.00001039267,0.00001603403,0.006568516],"genre_scores_gemma":[0.9047855,0.0001083572,0.09317213,0.0001652838,0.0001974241,0.00002029731,0.000008659405,0.00004120791,0.001501192],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7732705,"threshold_uncertainty_score":0.5961161,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2052596014","doi":"10.1007/s00222-007-0047-0","title":"Robust rigidity for circle diffeomorphisms with singularities","year":2007,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Gravitational singularity; Corollary; Irrational number; Pure mathematics; Rotation number; Unit circle; Great circle; Mathematical analysis; Rotation (mathematics); Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.1091731945888889,"gpt":0.3143402228727592,"spread":0.2051670282838703,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001579458,0.0002829395,0.0005510715,0.0001380781,0.0002629233,0.0001106913,0.0002681146,0.0001460214,0.0002690424],"category_scores_gemma":[0.0007303258,0.0002321451,0.0002400525,0.0002098541,0.0002159012,0.0001796675,0.00005953346,0.0001504156,0.0000484053],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006170872,"about_ca_system_score_gemma":0.00002869175,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004763616,"about_ca_topic_score_gemma":0.00005581789,"domain_scores_codex":[0.9978565,0.00003017137,0.000760434,0.0003425688,0.000469578,0.0005407702],"domain_scores_gemma":[0.9971748,0.001520023,0.0003431646,0.0005583292,0.0002267638,0.0001769067],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005229473,0.000760182,0.00008075895,0.001610686,0.0001089519,0.00001347669,0.0004201332,0.000004679101,0.0003614793,0.9949118,0.0008630255,0.0008124876],"study_design_scores_gemma":[0.0007959519,0.0001419337,0.0003052534,0.0003738837,0.000143138,0.00006722294,0.0003661665,0.004514346,0.001097608,0.9913499,0.0004837103,0.00036085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1647262,0.00002441222,0.8255957,0.0002572981,0.000116316,0.0009262918,0.00003073618,0.0002193889,0.008103644],"genre_scores_gemma":[0.6389403,0.000003166774,0.357783,0.0001068815,0.0001805376,0.0001561804,0.00002877756,0.000107764,0.002693373],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.474214,"threshold_uncertainty_score":0.9466603,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2922833253","doi":"10.1090/ulect/070","title":"Cantor Minimal Systems","year":2018,"lang":"en","type":"book","venue":"University lecture series","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.01635763244467646,"gpt":0.2170570770697929,"spread":0.2006994446251164,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001275642,0.0003472604,0.000601675,0.0001420263,0.000184703,0.00006261372,0.0003789038,0.0005638028,0.0007644382],"category_scores_gemma":[0.0001471647,0.0003229697,0.0001808445,0.00006973749,0.0002488229,0.0001039636,0.0001523733,0.0003353099,0.000143338],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003001765,"about_ca_system_score_gemma":0.000299603,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002150429,"about_ca_topic_score_gemma":0.0002299717,"domain_scores_codex":[0.9988515,0.00005015907,0.0002022739,0.0003238011,0.0002918052,0.0002804101],"domain_scores_gemma":[0.9987282,0.0002659341,0.0002405901,0.0004557744,0.0001846767,0.0001248579],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00004915848,0.00002392669,9.993485e-7,0.0008145577,0.000168097,0.0001157564,0.0004801537,6.427038e-7,0.000007794732,0.7003466,0.2979501,0.00004216033],"study_design_scores_gemma":[0.0001303695,0.0001082137,9.050033e-7,0.0002643056,0.0001905001,0.00004027336,0.0001152395,0.000117637,0.000006039647,0.1852643,0.8134018,0.0003604811],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0002435472,0.0001324233,0.00658192,0.0001450535,0.0005510606,0.0004310502,0.0003720452,0.0002002311,0.9913427],"genre_scores_gemma":[0.0004043807,0.00003676864,0.003095376,0.00002423053,0.0004681395,4.444564e-7,0.00007160783,0.00005529213,0.9958438],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.5154516,"threshold_uncertainty_score":0.9999222,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1977410681","doi":"10.1017/s0305004108001795","title":"Primitive divisors in arithmetic dynamics","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":49,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Divisor (algebraic geometry); Degree (music); Prime (order theory); Order (exchange); Combinatorics; Function (biology); Field (mathematics); Rational function; Arithmetic; Algebraic number field; Discrete mathematics; Pure mathematics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.04338486731396088,"gpt":0.2686969834374969,"spread":0.225312116123536,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00100799,0.0004285192,0.0009954202,0.00006582848,0.000222647,0.00003474237,0.0009045199,0.0003569041,0.00005465574],"category_scores_gemma":[0.002134149,0.0002905673,0.0008238523,0.0007467753,0.00102346,0.0001928652,0.0005740628,0.0008892216,0.00002226745],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002506498,"about_ca_system_score_gemma":0.00004948355,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004420041,"about_ca_topic_score_gemma":8.085635e-7,"domain_scores_codex":[0.9966319,0.00002804073,0.001214701,0.0004954338,0.00100874,0.0006212489],"domain_scores_gemma":[0.997671,0.001018164,0.000462935,0.0003660831,0.0002725056,0.0002092781],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000172789,0.0009314243,0.001196198,0.0009478672,0.00006617294,0.000003005464,0.0006126668,0.000001227567,0.0003818025,0.9946281,0.001153244,0.00006095607],"study_design_scores_gemma":[0.0006123847,0.00006693954,0.002373786,0.000382106,0.00007358577,0.00008979203,0.0002123046,0.04331358,0.0004415395,0.9520655,0.00001804778,0.0003504424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.931017,0.00002340499,0.002809403,0.007444564,0.00007222985,0.001063158,0.0000405707,0.0001218961,0.0574077],"genre_scores_gemma":[0.9827229,0.00002129936,0.0162094,0.0002777765,0.0000990355,0.00007134151,0.000001997931,0.00007169208,0.0005245048],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0568832,"threshold_uncertainty_score":0.9999546,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2037938678","doi":"10.1016/s0022-247x(02)00658-3","title":"Absolutely continuous invariant measures for random maps with position dependent probabilities","year":2003,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Absolute continuity; Invariant measure; Invariant (physics); Position (finance); Probability measure; Skew; Product measure; Measure (data warehouse); Random variable; Mathematical analysis; Random element; Discrete mathematics; Product (mathematics); Geometry; Statistics; Data mining","retraction":null,"screen_n_in":null,"score":{"opus":0.02224227279519436,"gpt":0.2722026114220928,"spread":0.2499603386268984,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001603852,0.0001761925,0.000811138,0.0001840078,0.0001494798,0.000114167,0.0001388734,0.0000768658,0.00008462992],"category_scores_gemma":[0.0006127008,0.0001084178,0.0003220704,0.0003109367,0.0001009758,0.0001011098,0.00001516071,0.0001335822,0.000002745526],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003029989,"about_ca_system_score_gemma":0.00004573579,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001231856,"about_ca_topic_score_gemma":0.00001168315,"domain_scores_codex":[0.9982372,0.00008240464,0.0009156119,0.0001763838,0.0003916869,0.0001967033],"domain_scores_gemma":[0.9970357,0.001494288,0.000591626,0.0002538867,0.0004606235,0.0001638336],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006235259,0.0005936808,0.00007458423,0.0002884453,0.001057186,0.000002203417,0.0001787523,0.00003055407,0.0002587503,0.9967142,0.0001002442,0.0006390066],"study_design_scores_gemma":[0.001058368,0.0001482005,0.00003678633,0.00006846055,0.002822392,0.0001343438,0.0003786184,0.001858446,0.0003146842,0.9924193,0.0006004003,0.0001599946],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02032536,0.0001047276,0.9762623,0.0004108571,0.000006346241,0.0007317609,0.00002937584,0.00001351069,0.002115815],"genre_scores_gemma":[0.7462481,0.00004803092,0.2527841,0.0000585554,0.00006690635,0.0002977556,0.000006584849,0.00002752175,0.0004624148],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7259228,"threshold_uncertainty_score":0.4421148,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2054816224","doi":"10.4007/annals.2009.170.783","title":"Combinatorial rigidity for unicritical polynomials","year":2009,"lang":"en","type":"article","venue":"Annals of Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Rigidity (electromagnetism); Social connectedness; Combinatorics; Locus (genetics); Polynomial; Degree (music); Pure mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.1576059108724602,"gpt":0.4144767487654592,"spread":0.256870837892999,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00138418,0.0002637343,0.0008543943,0.00009478202,0.00008744499,0.0000425667,0.0004012701,0.0002059677,0.0001016207],"category_scores_gemma":[0.004048228,0.0002258577,0.0003749281,0.0001466702,0.000113283,0.0001151147,0.00004868462,0.0001405581,0.00001678194],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001225565,"about_ca_system_score_gemma":0.00004895997,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001832979,"about_ca_topic_score_gemma":6.894566e-7,"domain_scores_codex":[0.9978062,0.00004153423,0.001038381,0.0002370448,0.0004130037,0.0004638559],"domain_scores_gemma":[0.9959641,0.002469866,0.0003631568,0.0006179874,0.000408876,0.0001760841],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002506734,0.001461379,0.00000229945,0.0005397546,0.00004636544,0.000001723953,0.000325868,5.835688e-7,0.0007167917,0.9885181,0.00765732,0.0007047715],"study_design_scores_gemma":[0.000565081,0.0003739149,0.00001505886,0.0001535553,0.0000662455,0.000007001115,0.00009415409,0.003112099,0.008335575,0.9850418,0.001990214,0.0002453332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5909216,0.0002601988,0.3059632,0.01923546,0.001207732,0.004179849,0.0005562798,0.0005353735,0.07714021],"genre_scores_gemma":[0.877704,0.00003695627,0.1209531,0.0005891647,0.0003109067,0.00003221338,0.00001308779,0.00005125313,0.0003093219],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2867823,"threshold_uncertainty_score":0.9210211,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2023523124","doi":"10.1090/s0894-0347-07-00583-8","title":"Hausdorff dimension and conformal measures of Feigenbaum Julia sets","year":2007,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Institut Henri Poincaré; University of Toronto; State University of New York; John Simon Guggenheim Memorial Foundation; National Science Foundation","keywords":"Julia set; Hausdorff dimension; Mathematics; Conformal map; Dimension (graph theory); Exponent; Combinatorics; Scaling; Hausdorff space; Hausdorff measure; Mathematical analysis; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.03584296976449792,"gpt":0.3175662412980561,"spread":0.2817232715335582,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003097831,0.0002106483,0.0008589327,0.00003998795,0.0001159517,0.00002911653,0.0003730477,0.00008083579,0.00004986015],"category_scores_gemma":[0.001233383,0.0001177585,0.0006079961,0.0002635462,0.0007183421,0.0001103533,0.0001847175,0.0004013134,0.000003557591],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005460195,"about_ca_system_score_gemma":0.00005193485,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004160974,"about_ca_topic_score_gemma":0.000001337487,"domain_scores_codex":[0.9974207,0.00007527,0.001207015,0.0001172348,0.0008432735,0.0003364514],"domain_scores_gemma":[0.9959357,0.001523204,0.001711364,0.0003415182,0.000279844,0.0002083604],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0009599915,0.004367409,0.006615547,0.004870964,0.003384729,0.00006729336,0.0289574,0.00004517448,0.0697392,0.7997714,0.02950193,0.05171891],"study_design_scores_gemma":[0.001026782,0.0004897675,0.005873288,0.0005874388,0.0003864522,0.0005005402,0.004377021,0.006045689,0.005371941,0.9743435,0.0006130276,0.0003845108],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9329941,0.00007397486,0.06407902,0.0006798462,0.00008664891,0.0002104406,0.000005849569,0.00001363782,0.001856445],"genre_scores_gemma":[0.920531,0.00005114347,0.07890488,0.0002829095,0.0000633738,9.72193e-7,1.673957e-7,0.00002710382,0.0001384806],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1745721,"threshold_uncertainty_score":0.480205,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2171844310","doi":"10.4171/jems/373","title":"Amenability of linear-activity automaton groups","year":2013,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of Toronto; National Science Foundation","keywords":"Mathematics; Automaton; Deterministic automaton; Random walk; Two-way deterministic finite automaton; Discrete mathematics; Block cellular automaton; Combinatorics; Finite-state machine; Automata theory; Nondeterministic finite automaton; Algorithm; Theoretical computer science; Statistics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.0296033885879237,"gpt":0.2834433026129011,"spread":0.2538399140249774,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002958491,0.0002360563,0.0007179672,0.0000232305,0.0001231971,0.00005151149,0.0007915995,0.00008798016,0.000544097],"category_scores_gemma":[0.002242643,0.0001285416,0.001145628,0.0002179102,0.0003158354,0.0002287349,0.0003327396,0.0005647754,0.00007680447],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007681605,"about_ca_system_score_gemma":0.00004177556,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000227842,"about_ca_topic_score_gemma":2.012666e-7,"domain_scores_codex":[0.9970121,0.0005387109,0.001251635,0.0001574317,0.0007457896,0.0002943454],"domain_scores_gemma":[0.9961535,0.00128749,0.001320046,0.0006837398,0.0003737581,0.0001814151],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001111286,0.01510586,0.002106827,0.01302824,0.002661403,0.00003691777,0.02092477,0.0001151741,0.09822552,0.738255,0.0841534,0.02527581],"study_design_scores_gemma":[0.0005381378,0.0001212773,0.005802394,0.0004110013,0.0001594442,0.00009324904,0.0003132261,0.0200785,0.001516443,0.9705753,0.0001700168,0.0002210629],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.923044,0.00001680761,0.06009495,0.001057497,0.0001472552,0.0004083521,0.000005690994,0.00003630879,0.01518917],"genre_scores_gemma":[0.9380659,0.000008570542,0.06115955,0.00009139689,0.0001675071,0.000002886135,1.330997e-7,0.00004928364,0.0004547415],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2323203,"threshold_uncertainty_score":0.5957481,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2079303608","doi":"10.1007/s00039-013-0225-8","title":"Fractal Weyl laws for asymptotically hyperbolic manifolds","year":2013,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Upper and lower bounds; Fractal; Mathematical analysis; Dimension (graph theory); Pure mathematics; Regular polygon; Quotient; Hyperbolic manifold; Function (biology); Fractal dimension; Kleinian group; Riemann zeta function; Multifractal system; Hyperbolic function; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.02879541190883058,"gpt":0.2580227804047188,"spread":0.2292273684958882,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000351825,0.0001789555,0.0004325179,0.0009030088,0.0001303108,0.0001507303,0.00008131727,0.0001251767,0.002613796],"category_scores_gemma":[0.0005789628,0.0001328429,0.0003816398,0.002132727,0.00005119028,0.0001276438,0.00006001846,0.0001160638,0.0002733512],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002533909,"about_ca_system_score_gemma":0.00001487536,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003866874,"about_ca_topic_score_gemma":0.000007899507,"domain_scores_codex":[0.9986588,0.00001566005,0.000386691,0.0003268064,0.0003324118,0.0002796233],"domain_scores_gemma":[0.998061,0.001279273,0.00008677675,0.0001984977,0.0002041037,0.0001703627],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002440117,0.000468914,0.004998053,0.000333523,0.004154112,0.000003396852,0.00004342101,0.00005121691,0.0001639502,0.9588277,0.01531282,0.01561845],"study_design_scores_gemma":[0.000345221,0.0001059641,0.03721184,0.00001089503,0.002725793,0.00001317238,0.00007594072,0.1677385,0.000008233147,0.7872963,0.004129857,0.0003382989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2725538,0.000328484,0.7168747,0.0009975517,0.0001262982,0.0003940725,0.00006366443,0.00009833547,0.008563109],"genre_scores_gemma":[0.9770453,0.00003610625,0.01416926,0.000183488,0.0001923674,0.0001250739,0.00005573174,0.00002355238,0.008169116],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7044915,"threshold_uncertainty_score":0.9982979,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963194044","doi":"10.1017/s0143385712000053","title":"Gibbs and equilibrium measures for some families of subshifts","year":2012,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Tel Aviv University","keywords":"Subshift of finite type; Mathematics; Gibbs measure; Measure (data warehouse); Generalization; Invariant (physics); Pure mathematics; Type (biology); Mathematical analysis; Mathematical physics","retraction":null,"screen_n_in":null,"score":{"opus":0.02811693147644308,"gpt":0.2867612961215442,"spread":0.2586443646451011,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002231888,0.0001932941,0.0005349882,0.00006189034,0.00006848437,0.00003656165,0.0001072442,0.0001382929,0.0000110156],"category_scores_gemma":[0.0008932807,0.0001413682,0.00008933967,0.00005283665,0.0002476659,0.0001828033,0.00007857216,0.00009945948,0.000002369653],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001506489,"about_ca_system_score_gemma":0.0000120757,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008242246,"about_ca_topic_score_gemma":0.000001667352,"domain_scores_codex":[0.9985512,0.0002240733,0.0004814793,0.0001902048,0.0002013885,0.0003516866],"domain_scores_gemma":[0.9967126,0.002648495,0.0001600495,0.0002320864,0.0000427432,0.0002040408],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001104204,0.0001199811,0.0004398823,0.001233737,0.00005959397,4.974697e-7,0.0005101249,0.00000156231,0.001353729,0.9954213,0.0000496552,0.0006995337],"study_design_scores_gemma":[0.0005926291,0.000121644,0.0005497889,0.0002192994,0.0001143373,0.00003487836,0.0007473662,0.01318746,0.0001243293,0.9835709,0.000464715,0.000272596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9491448,0.002969057,0.04573694,0.00004234602,0.0002980717,0.0005769673,0.0000808007,0.00005607151,0.001094882],"genre_scores_gemma":[0.9984826,0.00004659902,0.0007248954,0.00002045217,0.0001474395,0.00005389807,0.000006053653,0.0000286866,0.00048941],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0493377,"threshold_uncertainty_score":0.576483,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1990790475","doi":"10.1007/s00454-009-9199-6","title":"On the Characterization of Expansion Maps for Self-Affine Tilings","year":2009,"lang":"en","type":"article","venue":"Discrete & Computational Geometry","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Affine transformation; Combinatorics; Conjecture; Diagonalizable matrix; Dimension (graph theory); Pure mathematics; Symmetric matrix; Eigenvalues and eigenvectors","retraction":null,"screen_n_in":null,"score":{"opus":0.02202294936104782,"gpt":0.2929062644779385,"spread":0.2708833151168907,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003566226,0.0001314808,0.0002182862,0.0001087469,0.00009165963,0.00002883753,0.0001499875,0.00005960529,0.0001090291],"category_scores_gemma":[0.0004059483,0.0000893354,0.0001188419,0.000242866,0.00001997508,0.00006526376,0.00002025315,0.00008086863,0.00001171306],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002012268,"about_ca_system_score_gemma":0.00002187812,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.777842e-7,"about_ca_topic_score_gemma":1.051434e-7,"domain_scores_codex":[0.9989475,0.0000277224,0.0003820226,0.0001678317,0.0003298481,0.000145094],"domain_scores_gemma":[0.9980516,0.001334685,0.0002294517,0.0001756541,0.0001687216,0.00003991118],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000400065,0.0002417319,0.00001225963,0.00009628507,0.00002975704,4.073634e-7,0.0002079895,0.0004369883,0.002573916,0.9939929,0.0002993312,0.002068473],"study_design_scores_gemma":[0.0002825661,0.0001751512,0.002207932,0.00007183125,0.00002527944,0.000001538236,0.00002342157,0.1553234,0.000439227,0.8411749,0.0001615868,0.0001131528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7129349,0.000004116394,0.2842306,0.001126551,0.00005137955,0.0004351021,0.0001021866,0.00004841485,0.001066788],"genre_scores_gemma":[0.9807337,0.000002292737,0.01832428,0.0003960454,0.00005863002,0.00001713145,0.0002778039,0.00001571298,0.0001743961],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2677988,"threshold_uncertainty_score":0.3642992,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2165776451","doi":"10.1017/s0143385707000053","title":"Invariant densities for generalized<i>β</i>-maps","year":2007,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Invariant (physics); Generalization; Monotonic function; Chebyshev filter; Pure mathematics; Mathematical analysis; Mathematical physics","retraction":null,"screen_n_in":null,"score":{"opus":0.02354219783138458,"gpt":0.2904743159367178,"spread":0.2669321181053332,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004248991,0.00023191,0.0004931815,0.00007438525,0.0001891823,0.00009732348,0.0001514855,0.0002084504,0.00003408696],"category_scores_gemma":[0.0008883782,0.0001741958,0.0001294451,0.0000795318,0.000164682,0.00007707602,0.00006901665,0.0001463186,0.00001104567],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004487885,"about_ca_system_score_gemma":0.00001946146,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001709029,"about_ca_topic_score_gemma":0.00002083527,"domain_scores_codex":[0.998233,0.0001948661,0.0006097478,0.0003016381,0.0002160807,0.000444714],"domain_scores_gemma":[0.9952648,0.00399217,0.0001519435,0.0002944944,0.0000719727,0.0002246557],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002016648,0.00007871278,0.00002218138,0.0005102433,0.00005594922,0.0000146348,0.0002859025,0.000006166446,0.0004761735,0.997479,0.0004236531,0.0004456881],"study_design_scores_gemma":[0.0006228364,0.00008675787,0.00003657253,0.0001226885,0.00008218298,0.00009791416,0.0005826845,0.02355595,0.00003348171,0.9724566,0.002044874,0.0002774487],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3244544,0.0003613097,0.6705185,0.00007477091,0.0004000195,0.0006481415,0.00006644831,0.0001163128,0.003360114],"genre_scores_gemma":[0.9896474,0.00001581849,0.00628946,0.0001313788,0.0002839523,0.00005830357,0.00002482792,0.00004404753,0.003504833],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.665193,"threshold_uncertainty_score":0.7103497,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2095976469","doi":"10.1007/s00222-009-0200-z","title":"Herman’s theory revisited","year":2009,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Diffeomorphism; Diophantine equation; Smoothness; Class (philosophy); Conjugate points; Rotation (mathematics); Diophantine approximation","retraction":null,"screen_n_in":null,"score":{"opus":0.0479668894650367,"gpt":0.335928482571229,"spread":0.2879615931061923,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001259819,0.000276737,0.0005153382,0.0001363374,0.0001440139,0.00009742401,0.0003457906,0.0001313729,0.002030559],"category_scores_gemma":[0.001118707,0.0002229897,0.0002905781,0.0002850395,0.00007573558,0.0001935502,0.00005201163,0.0001887322,0.0006835153],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003924314,"about_ca_system_score_gemma":0.00001666143,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.30892e-7,"about_ca_topic_score_gemma":4.80968e-7,"domain_scores_codex":[0.9979769,0.0001352082,0.0007769551,0.0003053774,0.0004287079,0.0003768636],"domain_scores_gemma":[0.9980813,0.0006350423,0.0002845012,0.0007282622,0.0001117449,0.0001591738],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001064289,0.0004651402,0.000007387485,0.000266047,0.00003975389,0.00001134825,0.0002811774,2.648316e-7,0.000407262,0.9919252,0.003339979,0.003245825],"study_design_scores_gemma":[0.000290674,0.00006293308,0.0001710542,0.0003067784,0.00008574026,0.000045933,0.00009332382,0.001981043,0.0001995625,0.9956552,0.0008362186,0.0002714995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1615526,0.0003446649,0.4398929,0.002918188,0.0002510067,0.001722239,0.00003018819,0.001306381,0.3919818],"genre_scores_gemma":[0.9120816,0.00002798078,0.07404259,0.0008839008,0.0001905701,0.00005635544,0.00002166522,0.00007124642,0.01262411],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.750529,"threshold_uncertainty_score":0.9988817,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2042473668","doi":"10.1088/0951-7715/23/4/r01","title":"Dimension of non-conformal repellers: a survey","year":2010,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"National Research Council Canada","keywords":"Mathematics; Conformal map; Dimension (graph theory); Iterated function; Pure mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.04415599463366868,"gpt":0.3410415006368668,"spread":0.2968855060031981,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001268276,0.000116801,0.0003078437,0.00004180582,0.00004228802,0.00001554137,0.0001682757,0.0001563552,0.0003399069],"category_scores_gemma":[0.001574811,0.00009378092,0.00009076312,0.0001131892,0.0000825251,0.00007518422,0.00009758376,0.0003419263,0.00003554971],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005271431,"about_ca_system_score_gemma":0.00004380645,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001618556,"about_ca_topic_score_gemma":0.0004664492,"domain_scores_codex":[0.9989883,0.00003155951,0.0004138762,0.0001485645,0.0002328736,0.0001848585],"domain_scores_gemma":[0.9984678,0.0006137918,0.000172026,0.0004779436,0.0001792874,0.00008917701],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0008168055,0.01077096,0.1256386,0.003791458,0.0005067788,0.00006817307,0.004396558,0.00001616802,0.2205562,0.5867089,0.01119072,0.03553866],"study_design_scores_gemma":[0.00251775,0.0003968865,0.160756,0.0001863593,0.0001188524,0.00004849583,0.0001254208,0.5289024,0.02311884,0.2806007,0.002172972,0.001055376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.985369,0.000001718028,0.004622692,0.00004267367,0.000186953,0.0001767603,0.00007016723,0.00003006811,0.009499916],"genre_scores_gemma":[0.9378268,0.000002099145,0.06167207,0.00002725192,0.00005653487,0.000002549347,0.00002520402,0.00001551765,0.0003719724],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5288861,"threshold_uncertainty_score":0.3824275,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2964070121","doi":"10.4153/cmb-2002-050-2","title":"Diffraction of Weighted Lattice Subsets","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":true,"about_ca":false},"ca_institutions":"","funders":"Division of Mathematical Sciences; Deutsche Forschungsgemeinschaft; University of Alberta","keywords":"Mathematics; Lattice (music); Abelian group; Combinatorics; Discrete mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.0366894430913952,"gpt":0.2542618718053703,"spread":0.2175724287139751,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004501171,0.0002520349,0.0005451482,0.0001999413,0.0001057127,0.00004234779,0.000301393,0.0002128955,0.08844791],"category_scores_gemma":[0.001536389,0.0002200447,0.0001745139,0.0002402536,0.0001456882,0.00004812946,0.00003489257,0.0002625776,0.009942668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001137368,"about_ca_system_score_gemma":0.00003199761,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002222398,"about_ca_topic_score_gemma":0.0003086917,"domain_scores_codex":[0.9980022,0.0000784175,0.0007255016,0.0002746166,0.0003793031,0.0005399577],"domain_scores_gemma":[0.9972907,0.001180905,0.0002071185,0.0005665821,0.0001314491,0.0006232028],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004409005,0.0003205929,0.00003944592,0.0005469493,0.00005543963,0.00003849309,0.0003445387,2.706587e-7,0.00007467344,0.9532935,0.04377361,0.001508086],"study_design_scores_gemma":[0.0004211816,0.00005775296,0.0001254145,0.0002341818,0.0001034973,0.00006611915,0.0001123156,0.01750107,0.0001293508,0.9372187,0.04362354,0.0004069161],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.439929,0.000149859,0.01527808,0.01262167,0.0002171733,0.001142104,0.0001253771,0.0002241991,0.5303125],"genre_scores_gemma":[0.9670432,0.00002060474,0.02286733,0.0004327204,0.00007772051,0.00003752808,0.000007274229,0.00007178074,0.009441883],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5271141,"threshold_uncertainty_score":0.9908282,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3106137118","doi":"","title":"Rigidity and non-recurrence along sequences","year":2016,"lang":"en","type":"article","venue":"","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Ergodic theory; Rigidity (electromagnetism); Parallels; Mathematics; Dynamical systems theory; Pure mathematics; Mixing (physics); Class (philosophy); Variety (cybernetics); Focus (optics); Statistical physics; Computer science; Physics; Artificial intelligence","retraction":null,"screen_n_in":null,"score":{"opus":0.04748076707454501,"gpt":0.3187405970130808,"spread":0.2712598299385358,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002616078,0.00008643638,0.0001469559,0.00002011413,0.00004133133,0.00002588161,0.00009382599,0.00004270029,0.0004972637],"category_scores_gemma":[0.000368564,0.00004322443,0.0000275784,0.00004014332,0.00009186035,0.0001107141,0.00005224669,0.00003582352,0.00006464399],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009232123,"about_ca_system_score_gemma":0.00001229985,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001620693,"about_ca_topic_score_gemma":0.0000321215,"domain_scores_codex":[0.999392,0.0000137997,0.000175369,0.0001482083,0.0001219132,0.0001487534],"domain_scores_gemma":[0.9990036,0.0006651162,0.00005067958,0.0001705269,0.00003126618,0.00007876134],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003759709,0.00005869077,0.002842566,0.0001035178,0.00001351324,0.000005074182,0.0001009741,1.109774e-8,0.001855165,0.9763444,0.001619176,0.01705313],"study_design_scores_gemma":[0.0001449818,0.00003476899,0.001338415,0.00008985516,0.000008394994,0.000008264424,0.00002069807,0.0006782264,0.000824147,0.9963466,0.000382217,0.0001234425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8583132,0.0000153695,0.09675624,0.0008192698,0.00007364089,0.0001495479,0.00001165165,0.00006196224,0.04379911],"genre_scores_gemma":[0.9807633,0.00003176485,0.01759293,0.00003932976,0.00002546535,0.00000757489,2.263213e-7,0.000006362448,0.00153304],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1224501,"threshold_uncertainty_score":0.5444689,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1555708904","doi":"10.1090/tran/6489","title":"Ergodic universality of some topological dynamical systems","year":2015,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Topological entropy; Ergodic theory; Topological entropy in physics; Invariant measure; Dynamical systems theory; Pure mathematics; Automorphism; Probability measure; Discrete mathematics; Topological quantum number","retraction":null,"screen_n_in":null,"score":{"opus":0.04792588200817786,"gpt":0.3066031071280931,"spread":0.2586772251199152,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008873002,0.0002228574,0.0009087936,0.00002975955,0.00008859429,0.00001530166,0.0005873147,0.0001170176,0.0000990898],"category_scores_gemma":[0.0004105371,0.0001415473,0.0007434491,0.0004569145,0.001672336,0.0001026083,0.00005908338,0.0003243216,0.00001056408],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001220368,"about_ca_system_score_gemma":0.00009536561,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000937937,"about_ca_topic_score_gemma":0.000002160865,"domain_scores_codex":[0.9977564,0.0002116912,0.00081365,0.0002296218,0.0006797376,0.0003089091],"domain_scores_gemma":[0.9971466,0.001146167,0.0005696905,0.0007478236,0.0001817186,0.0002079787],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004957794,0.001324197,0.0000911959,0.0007146712,0.0002812539,9.037066e-7,0.001168556,0.0002951282,0.0007797838,0.9945491,0.0004735947,0.0002720714],"study_design_scores_gemma":[0.0005531316,0.0002673888,0.000186523,0.0001510841,0.0003351044,0.00002732362,0.004817205,0.07335977,0.0004173186,0.9195459,0.00006889548,0.0002703799],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5240337,0.00003155457,0.4723544,0.0006881593,0.0001092311,0.0004347965,0.00007052692,0.00007988954,0.002197635],"genre_scores_gemma":[0.9687282,0.0000153603,0.03070623,0.00004672238,0.00002459852,0.00001733422,0.000001024278,0.00002562869,0.000434942],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4446944,"threshold_uncertainty_score":0.6161792,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1827651941","doi":"10.1007/s11854-016-0010-3","title":"Finite configurations in sparse sets","year":2016,"lang":"fr","type":"article","venue":"Journal d Analyse Mathématique","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Isosceles triangle; Combinatorics; Hausdorff dimension; Hausdorff measure; Dimension (graph theory); Measure (data warehouse); Term (time); Degenerate energy levels; Discrete mathematics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.0388514458393224,"gpt":0.3170226715123363,"spread":0.2781712256730139,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002329746,0.0004752592,0.0009901776,0.00057636,0.0001861452,0.0003551018,0.0004556926,0.0004571848,0.008677541],"category_scores_gemma":[0.003378074,0.0003230442,0.0005066812,0.000595745,0.0001946463,0.0007244521,0.0000996807,0.0008445604,0.00129361],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004194792,"about_ca_system_score_gemma":0.0003303647,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004101282,"about_ca_topic_score_gemma":0.0003339791,"domain_scores_codex":[0.9956419,0.0005946549,0.002043443,0.0003487652,0.0005726094,0.0007986393],"domain_scores_gemma":[0.9948278,0.002756548,0.0009620619,0.0005963516,0.0003514492,0.0005057892],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005138115,0.001917352,0.00176597,0.0009672379,0.0006228147,0.001637367,0.003239796,0.0003896448,0.003801754,0.9365246,0.01839039,0.03069164],"study_design_scores_gemma":[0.001464322,0.0001349436,0.001716966,0.003958055,0.0003164274,0.0009749111,0.0004023497,0.07501577,0.0002479208,0.9031004,0.01199521,0.0006727746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2530608,0.002423598,0.6105532,0.07644274,0.001883532,0.0009773409,0.0003780714,0.0001131782,0.05416747],"genre_scores_gemma":[0.910666,0.004424246,0.04342726,0.0008031207,0.0006905667,0.00004798346,0.00001028345,0.0001635323,0.03976698],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6576052,"threshold_uncertainty_score":0.9999222,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2091352908","doi":"10.1007/s00023-013-0233-0","title":"A Generalized Topological Recursion for Arbitrary Ramification","year":2013,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Recursion (computer science); Ramification; Mathematics; Meromorphic function; Pure mathematics; Riemann surface; Double recursion; Simple (philosophy); Algorithm","retraction":null,"screen_n_in":null,"score":{"opus":0.0667477166924908,"gpt":0.3332162050888944,"spread":0.2664684883964036,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003438739,0.0001740355,0.0003060711,0.00005836349,0.0001194916,0.00006594362,0.0002021117,0.0001567006,0.0006860434],"category_scores_gemma":[0.000531452,0.0001322029,0.0001903492,0.00009296762,0.0000714929,0.0001446371,0.00004693864,0.0001185763,0.0001937262],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002380454,"about_ca_system_score_gemma":0.00002086537,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001317684,"about_ca_topic_score_gemma":0.000003340982,"domain_scores_codex":[0.9987438,0.00006586284,0.0004149198,0.0002726538,0.0001834761,0.0003192803],"domain_scores_gemma":[0.9986063,0.0006128027,0.0001415625,0.0003597328,0.0001526643,0.000126937],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002816784,0.0002570361,0.00007913342,0.000195673,0.00003379261,0.00000173125,0.0002077862,5.429649e-7,0.002410706,0.9638159,0.02735943,0.005610097],"study_design_scores_gemma":[0.0003887039,0.0001117411,0.0004987652,0.00003364667,0.00002296533,0.000009334421,0.00007606866,0.01283297,0.0004199195,0.9731005,0.0123076,0.0001977428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9289351,0.000252655,0.05304114,0.004596385,0.0001415132,0.001524228,0.00003311767,0.0002003423,0.01127555],"genre_scores_gemma":[0.8118175,0.0001255752,0.1795969,0.001318306,0.000286679,0.0006103526,0.00009823591,0.00005891873,0.006087546],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1265557,"threshold_uncertainty_score":0.7511694,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963719739","doi":"10.1016/j.jnt.2008.09.008","title":"On Bost–Connes type systems for number fields","year":2008,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; Norges Forskningsråd","keywords":"Mathematics; Ramachandran plot; Algebraic number field; Interpretation (philosophy); Type (biology); Pure mathematics; Physics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.05556475171008017,"gpt":0.3347152869039288,"spread":0.2791505351938486,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008959284,0.0001405744,0.0004136821,0.000037097,0.0000873704,0.00002624402,0.0001968079,0.000129572,0.002707944],"category_scores_gemma":[0.001879152,0.0000982109,0.0002190967,0.00007133182,0.00005099787,0.00008995619,0.00002092932,0.0002226181,0.0002109012],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003092124,"about_ca_system_score_gemma":0.00004526208,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001059678,"about_ca_topic_score_gemma":4.130557e-7,"domain_scores_codex":[0.9987834,0.00009525998,0.0005668514,0.00009242086,0.0002704393,0.0001916169],"domain_scores_gemma":[0.9953315,0.003637134,0.0004253532,0.0002151416,0.000285859,0.0001050482],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002080197,0.0002395655,0.00009738384,0.0001635372,0.000119115,0.0000489684,0.0003282751,0.00001172013,0.00001502528,0.8764978,0.1220978,0.0001727611],"study_design_scores_gemma":[0.0004999831,0.0001613916,0.00003047353,0.0002272899,0.00005672371,0.0009598542,0.0001540775,0.0006379652,0.00003038853,0.9858171,0.01128273,0.0001420806],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7533554,0.0001940869,0.09725338,0.0004291509,0.002312489,0.0005792048,0.00008546122,0.00005540728,0.1457354],"genre_scores_gemma":[0.9810653,0.00007064137,0.005514674,0.0002501101,0.0005299717,0.000008591565,0.000002556468,0.00004553777,0.01251266],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2277098,"threshold_uncertainty_score":0.9982037,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1997546363","doi":"10.1007/s00220-008-0598-y","title":"Mating Non-Renormalizable Quadratic Polynomials","year":2008,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Uniqueness; Polynomial; Quadratic equation; Mathematics; Pure mathematics; Complex system; Combinatorics; Mathematical physics; Physics; Mathematical analysis; Computer science; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.1603420707630787,"gpt":0.3786765846170397,"spread":0.218334513853961,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008843372,0.0003188577,0.0007586862,0.0001081754,0.0004011181,0.00005978038,0.001405147,0.000150015,0.0002275423],"category_scores_gemma":[0.001324431,0.0002927293,0.0001885092,0.0005947792,0.0004556317,0.0003024009,0.0006204791,0.0005124855,0.0004314603],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001098532,"about_ca_system_score_gemma":0.00008408463,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001444488,"about_ca_topic_score_gemma":0.000009682354,"domain_scores_codex":[0.9974239,0.0001896339,0.001201662,0.0002864138,0.0003989509,0.0004993727],"domain_scores_gemma":[0.9937029,0.002908192,0.0003234864,0.002800432,0.0001182639,0.000146734],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004406656,0.001310801,0.0002465085,0.0003667944,0.0000325095,0.000006573002,0.002220943,0.00002850422,0.00035061,0.9935648,0.001089047,0.0007785197],"study_design_scores_gemma":[0.0003616436,0.00002429998,0.0001067668,0.0002626738,0.00002887308,0.00003028861,0.0002103949,0.1293715,0.0001841887,0.8689514,0.0001581042,0.0003098505],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.174883,0.0002000611,0.5422589,0.001235292,0.0001050536,0.001752289,0.00003022447,0.0003904254,0.2791448],"genre_scores_gemma":[0.7244676,0.00008647161,0.274199,0.000108492,0.00005533528,0.000181697,0.0000159853,0.00006454258,0.0008207817],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5495847,"threshold_uncertainty_score":0.9999525,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2115798635","doi":"10.1007/s00220-013-1706-1","title":"Renormalization Horseshoe and Rigidity for Circle Diffeomorphisms with Breaks","year":2013,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Horseshoe (symbol); Mathematics; Rotation number; Renormalization; Pure mathematics; Periodic point; Diophantine equation; Rigidity (electromagnetism); Mathematical analysis; Rotation (mathematics); Mathematical physics; Geometry; Physics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.06553305525332938,"gpt":0.3297863508457696,"spread":0.2642532955924402,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003765046,0.000195316,0.0004130449,0.000051493,0.0001827722,0.0001052717,0.0005041513,0.00009931419,0.00005438544],"category_scores_gemma":[0.0004943459,0.0001633454,0.00006000115,0.0002374236,0.0003433497,0.000274086,0.0002392184,0.0002117899,0.00003418954],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004179754,"about_ca_system_score_gemma":0.00002216435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001169915,"about_ca_topic_score_gemma":0.00001735465,"domain_scores_codex":[0.9987276,0.00007978411,0.0005036644,0.0002235654,0.0001930265,0.0002723668],"domain_scores_gemma":[0.9960553,0.002073729,0.0001799215,0.001412493,0.0001752902,0.0001032387],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004893558,0.0006594793,0.0001346981,0.0003633423,0.00002261866,2.096639e-7,0.0004624443,0.000005357419,0.0001325577,0.9935431,0.0002792702,0.004392031],"study_design_scores_gemma":[0.0004071248,0.00004944983,0.0004573865,0.0001594119,0.0000384169,0.000006199985,0.0001168659,0.1363834,0.00005336255,0.8620375,0.00009804714,0.0001928605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09717219,0.00005520087,0.8886856,0.001249505,0.000018024,0.001998552,0.00002846777,0.0001206007,0.01067183],"genre_scores_gemma":[0.7717574,0.00004025361,0.2272196,0.00007371934,0.00002448863,0.0006605826,0.00003393255,0.00004462457,0.0001455004],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6745852,"threshold_uncertainty_score":0.6661034,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2007766117","doi":"10.1142/s0219493710002942","title":"WEAK CONVERGENCE TO LÉVY STABLE PROCESSES IN DYNAMICAL SYSTEMS","year":2010,"lang":"en","type":"article","venue":"Stochastics and Dynamics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Ministerstwo Edukacji i Nauki; McGill University","keywords":"Mathematics; Ergodic theory; Convergence (economics); Weak convergence; Compact convergence; Normal convergence; Dynamical systems theory; Modes of convergence (annotated index); Convergence tests; Pure mathematics; Applied mathematics; Space (punctuation); Topology (electrical circuits); Topological space; Combinatorics; Rate of convergence; Computer science; Topological vector space","retraction":null,"screen_n_in":null,"score":{"opus":0.01659387090355212,"gpt":0.281672976065499,"spread":0.2650791051619468,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004385127,0.0002542092,0.0004377985,0.0001485269,0.00009059357,0.0001207265,0.0002430409,0.0001916215,0.00003766389],"category_scores_gemma":[0.001587656,0.0002267687,0.00003472746,0.0003550582,0.0001289222,0.00009128867,0.0001610027,0.0004099733,0.00001994359],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005376925,"about_ca_system_score_gemma":0.00009285029,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008148504,"about_ca_topic_score_gemma":0.001971524,"domain_scores_codex":[0.9983342,0.00001878317,0.0005162361,0.000374885,0.0002996244,0.0004563139],"domain_scores_gemma":[0.9984273,0.0006250212,0.0001150374,0.0003612983,0.0001881688,0.0002832098],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001905392,0.0001742528,0.0005411638,0.0006512346,0.00001255772,0.00001087202,0.0002967203,0.0002806754,0.000253049,0.9973444,0.00007201472,0.0003439463],"study_design_scores_gemma":[0.0002738011,0.00008108484,0.0001986265,0.0001288632,0.0000208429,0.00003570412,0.0004352634,0.8152862,0.00000387344,0.1829778,0.0002296968,0.0003282465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5117285,0.00003516431,0.4828039,0.0002369971,0.0005295189,0.0006550429,0.0001540903,0.00007089703,0.003785897],"genre_scores_gemma":[0.9812223,0.00001837506,0.01770016,0.00004107236,0.0000657054,0.0000688173,0.00001693556,0.00004652085,0.000820145],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8150055,"threshold_uncertainty_score":0.9247361,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2042940983","doi":"10.1007/s00039-012-0154-y","title":"On the Critical Line of Convex Co-Compact Hyperbolic Surfaces","year":2012,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Fuchsian group; Conjecture; Upper and lower bounds; Backslash; Hyperbolic geometry; Combinatorics; Regular polygon; Convex body; Kleinian group; Mathematical analysis; Compact space; Lattice (music); Omega; Convex hull; Geometry; Differential geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.06798706020859939,"gpt":0.3226392893095558,"spread":0.2546522291009564,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007951437,0.0001172491,0.0003670753,0.000537895,0.00008672808,0.00002799342,0.00006187829,0.00005947381,0.002242288],"category_scores_gemma":[0.001710974,0.00006472325,0.0002216791,0.001961519,0.000130072,0.00005462019,0.00002116836,0.0001296687,0.00008011818],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000120699,"about_ca_system_score_gemma":0.000008005227,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001581812,"about_ca_topic_score_gemma":9.429989e-7,"domain_scores_codex":[0.9989635,0.00004417871,0.0002909786,0.0001279351,0.0003766886,0.0001966744],"domain_scores_gemma":[0.9942428,0.0053129,0.00007104614,0.0001782579,0.00008699264,0.0001080184],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002008728,0.000400292,0.00870071,0.0001019402,0.001178846,5.649487e-7,0.00007143801,0.00007408961,0.00005226393,0.9858655,0.003217075,0.0003171321],"study_design_scores_gemma":[0.0003654671,0.0002495169,0.1133734,0.00004811527,0.005659574,0.00001833693,0.0004405661,0.1008022,0.0003226642,0.7760061,0.002225497,0.0004885246],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9503825,0.0009072264,0.03845992,0.001183591,0.00009746545,0.00008881851,0.000078937,0.00002645883,0.008775107],"genre_scores_gemma":[0.9987097,0.0000363996,0.0002732995,0.0001143108,0.00008186152,0.000003398741,0.00001114189,0.000008145657,0.0007617391],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2098595,"threshold_uncertainty_score":0.9986698,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}