{"id":"W2978955646","doi":"10.1017/etds.2018.9","title":"Approximate transitivity of the ergodic action of the group of finite permutations of on","year":2018,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Ergodic theory; Transitive relation; Action (physics); Combinatorics; Bernoulli's principle; Group (periodic table); Group action; Product (mathematics); Measure (data warehouse); Space (punctuation); Class (philosophy); Pure mathematics; Discrete mathematics; Geometry","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":[0.001268803,0.000115943,0.0003482092,0.0000525853,0.0001110469,0.000005111956,0.000235996,0.0001015481,0.00001890941],"category_scores_gemma":[0.0007302569,0.00006391627,0.0001294312,0.0002708602,0.001012479,0.00006296825,0.00006741386,0.0001870061,7.580547e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002859564,"about_ca_system_score_gemma":0.00004145218,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002594484,"about_ca_topic_score_gemma":0.00003563818,"domain_scores_codex":[0.997808,0.001032229,0.0004704476,0.0001581153,0.0003870435,0.000144135],"domain_scores_gemma":[0.9973198,0.001749024,0.0002986314,0.0004532755,0.0001412681,0.00003802199],"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":[0.0004117407,0.0002697475,0.000548589,0.0009547101,0.00006163579,2.494277e-7,0.001596397,0.0002830841,0.05745208,0.9379994,0.000005394043,0.0004170296],"study_design_scores_gemma":[0.003184663,0.001743213,0.02539688,0.003214587,0.0003531277,0.00004441107,0.006969902,0.07755993,0.13577,0.7452025,0.00005531497,0.0005054798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9608011,0.00005586118,0.03786392,0.00003391828,0.0001662692,0.0004858041,0.00009911298,0.00001040865,0.0004836504],"genre_scores_gemma":[0.999706,0.000006648991,0.0001019599,0.000005269951,0.00003028783,0.0000167038,0.000001561005,0.00001455776,0.0001170069],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1927969,"threshold_uncertainty_score":0.373052,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03093381885057854,"score_gpt":0.3215121959541641,"score_spread":0.2905783771035855,"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."}}