{"id":"W2018005568","doi":"10.1007/s00220-009-0818-0","title":"Extinctions and Correlations for Uniformly Discrete Point Processes with Pure Point Dynamical Spectra","year":2009,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Dynamical systems theory; Point (geometry); Dynamical system (definition); Graph; Point process; Physical system; Space (punctuation); Upper and lower bounds","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005408104,0.0003983331,0.0006325187,0.0001027109,0.0004077783,0.0001272718,0.0008511746,0.0001389617,0.00005458729],"category_scores_gemma":[0.001613092,0.0003240767,0.0001260177,0.0007847365,0.0006236936,0.0004959099,0.0001830436,0.0005965154,0.00002804043],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001530518,"about_ca_system_score_gemma":0.0001229699,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001282692,"about_ca_topic_score_gemma":0.00004481089,"domain_scores_codex":[0.9978852,0.0001226643,0.0007858715,0.0004012553,0.0003209999,0.0004840652],"domain_scores_gemma":[0.9920775,0.005288541,0.0002606083,0.001957265,0.0002486752,0.0001674697],"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":[0.00003609539,0.001206909,0.0000263411,0.0003589991,0.00003842573,9.727415e-7,0.001413553,0.00004631551,0.0001024289,0.9959947,0.00008957206,0.0006856194],"study_design_scores_gemma":[0.0007059843,0.0002444641,0.0001301303,0.0003978616,0.0001450628,0.00003085401,0.0008242162,0.02322423,0.0001335917,0.973713,0.00004625058,0.0004043476],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01855444,0.00007421074,0.93867,0.005464295,0.00002620141,0.002226342,0.00005840266,0.0003589918,0.03456714],"genre_scores_gemma":[0.6545355,0.00005203528,0.3447271,0.0001222381,0.00006611164,0.0002860902,0.00004121399,0.00006016296,0.0001095424],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6359811,"threshold_uncertainty_score":0.9999211,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04651000419897491,"score_gpt":0.3442928049611706,"score_spread":0.2977828007621957,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}