{"id":"W2068533793","doi":"10.1017/s0143385707000405","title":"Topological entropy and partially hyperbolic diffeomorphisms","year":2008,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Topological entropy; Foliation (geology); Pure mathematics; Invariant (physics); Entropy (arrow of time); Topology (electrical circuits); Combinatorics; Mathematical physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004657926,0.0002862967,0.0004162452,0.001162752,0.0004313942,0.0008970808,0.0002993325,0.0003605699,0.00125818],"category_scores_gemma":[0.001747664,0.0001190783,0.0002745269,0.000458326,0.002130901,0.001557704,0.001279042,0.0003985949,0.00006894553],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005141767,"about_ca_system_score_gemma":0.0001627567,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00031942,"about_ca_topic_score_gemma":0.000160205,"domain_scores_codex":[0.9997336,0.00005740274,0.00001431997,0.00004056645,0.0001096666,0.00004442666],"domain_scores_gemma":[0.9992682,0.0002755717,0.0001773639,0.00008377343,0.00009001311,0.000105036],"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":[0.00005350801,0.00002132486,0.00265226,0.00004715887,0.00003028891,0.000284281,0.0002920871,0.01687062,0.009089846,0.9654067,0.0002749726,0.004977028],"study_design_scores_gemma":[0.00002715042,0.0001058238,0.008579292,0.00003188924,0.00002235312,0.000537253,0.0002138839,0.1199628,0.005438824,0.8625654,0.002483075,0.00003216581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9423,0.0006265835,0.04253878,0.0004350233,0.00004274242,0.00001209731,0.00006207052,0.00003402371,0.01394873],"genre_scores_gemma":[0.9987236,0.00007379084,0.0006083029,0.00001175842,0.0000228036,0.000004076165,0.00001726236,0.000002744097,0.0005356005],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00125818,"threshold_uncertainty_score":0.004209101,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02837824631519065,"score_gpt":0.263020133765636,"score_spread":0.2346418874504453,"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."}}