{"id":"W2963662586","doi":"10.1090/tran/7109","title":"Continued fractions with sl(2, z)-branches: Combinatorics and entropy","year":2018,"lang":"en","type":"article","venue":"IRIS Research product catalog (Sapienza University of Rome)","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Ministero dell’Istruzione, dell’Università e della Ricerca","keywords":"Mathematics; Mandelbrot set; Farey sequence; Combinatorics; Hausdorff dimension; Differentiable function; Discrete mathematics; Julia set; Monotone polygon; Symbolic dynamics; Bifurcation; Pure mathematics; Mathematical analysis; Geometry; Fractal","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":[],"consensus_categories":[],"category_scores_codex":[0.001214091,0.0001629323,0.0003770708,0.000286198,0.0004915485,0.00004440411,0.0004012544,0.00009421266,0.0002218889],"category_scores_gemma":[0.0009801119,0.0001494794,0.00005467798,0.0006258559,0.001459358,0.0002745063,0.0002849666,0.0004356399,0.0000706166],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008866535,"about_ca_system_score_gemma":0.0001261005,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002721795,"about_ca_topic_score_gemma":0.0001241932,"domain_scores_codex":[0.9980239,0.0001725133,0.0002014625,0.0004510983,0.0006815782,0.0004694551],"domain_scores_gemma":[0.9973027,0.0006330031,0.000154437,0.0006689029,0.001023471,0.0002174897],"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":[0.001235456,0.003853345,0.009226894,0.00239115,0.0009364299,0.0002576498,0.02404351,0.00000156082,0.02200316,0.8515683,0.07637918,0.00810337],"study_design_scores_gemma":[0.007536576,0.003857964,0.02061112,0.0008446688,0.0003020138,0.0001826832,0.01312074,0.002450501,0.009042948,0.7064438,0.2341015,0.001505385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9806792,0.0001327002,0.009810788,0.001288336,0.00007489954,0.0008567984,0.00008660551,0.00008126653,0.006989475],"genre_scores_gemma":[0.9863741,0.0000941645,0.00825171,0.000009095582,0.00007112957,0.000001560822,0.00001897179,0.00002520727,0.005153994],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1577223,"threshold_uncertainty_score":0.6095594,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0534141937729052,"score_gpt":0.3239113645524745,"score_spread":0.2704971707795694,"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."}}