{"id":"W2535009656","doi":"10.1090/proc/13581","title":"Generically Mañé set supports uniquely ergodic measure for residual cohomology class","year":2016,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Ergodic theory; Measure (data warehouse); Mathematics; Class (philosophy); Residual; Cohomology; Set (abstract data type); Pure mathematics; Discrete mathematics; Computer science; Artificial intelligence; Algorithm","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":[0.0007036569,0.0007927563,0.001053105,0.002558867,0.002452128,0.002376614,0.0009585443,0.0006735361,0.01193162],"category_scores_gemma":[0.002067434,0.0003614951,0.001456568,0.0005013489,0.002458234,0.003589877,0.003304176,0.002057143,0.001510073],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001870651,"about_ca_system_score_gemma":0.0005063576,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001612926,"about_ca_topic_score_gemma":0.001512768,"domain_scores_codex":[0.999071,0.0001138935,0.0000386805,0.0003255512,0.0002309329,0.0002198737],"domain_scores_gemma":[0.9988172,0.0002256265,0.0001603673,0.0001565729,0.000278824,0.0003614225],"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":[0.00004777579,0.00002864535,0.00108766,0.00006378321,0.00002084574,0.000259955,0.00034041,0.0008657974,0.002136202,0.9891835,0.001144382,0.004820904],"study_design_scores_gemma":[0.00003749583,0.0001921119,0.003241401,0.00005970688,0.00005658619,0.0007945241,0.0005782684,0.02444002,0.004529588,0.9518741,0.01411776,0.00007838134],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6082582,0.001506731,0.2415812,0.001637459,0.0005421782,0.00007675491,0.0007570043,0.0007468012,0.1448937],"genre_scores_gemma":[0.9521728,0.0004755086,0.0169546,0.0002114739,0.0003832253,0.00004596894,0.0005496547,0.0002724543,0.02893432],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01193162,"threshold_uncertainty_score":0.03991526,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01501252216574044,"score_gpt":0.2542090259371514,"score_spread":0.2391965037714109,"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."}}