{"id":"W3098644380","doi":"","title":"Orbit equivalence rigidity for product actions","year":2020,"lang":"en","type":"article","venue":"cIRcle (University of British Columbia)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"Pacific Institute for the Mathematical Sciences","keywords":"Lambda; Product (mathematics); Measure (data warehouse); Combinatorics; Equivalence (formal languages); Orbit (dynamics); Mathematics; Physics; Discrete mathematics; Quantum mechanics; Geometry; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0001699722,0.0000424766,0.0002474717,0.00002099544,0.0003124938,0.00006298731,0.0004373444,0.00005849088,0.0002175101],"category_scores_gemma":[0.000527278,0.0001552672,0.0001215269,0.000333364,0.0002150813,0.0003906425,0.000136398,0.0001723109,0.00003012438],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007168274,"about_ca_system_score_gemma":0.0001258737,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002927459,"about_ca_topic_score_gemma":0.0214931,"domain_scores_codex":[0.998858,0.00004468254,0.0001149779,0.0004218254,0.0002787408,0.0002817723],"domain_scores_gemma":[0.9989073,0.0001676001,0.0000891904,0.0003076344,0.0003416646,0.0001866134],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"observational","study_design_scores_codex":[0.0002055025,0.001140396,0.01130699,0.003057367,0.0003483019,0.0003199808,0.001973663,0.00008049141,0.03075275,0.0008782602,0.1949948,0.7549415],"study_design_scores_gemma":[0.007115577,0.001343785,0.8822419,0.0005944797,0.0002756875,0.0001468234,0.007511201,0.004813108,0.0006192212,0.07073504,0.02289444,0.001708702],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9670978,0.0000577065,0.02992477,0.0008349636,0.00007252496,0.00076076,0.0003524575,0.0001529264,0.0007461511],"genre_scores_gemma":[0.9816807,0.00005350601,0.01751575,0.00004225526,0.00007795955,0.000002504933,0.000008910695,0.00002148219,0.0005969308],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.870935,"threshold_uncertainty_score":0.9963621,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08560716814101661,"score_gpt":0.2879085889583854,"score_spread":0.2023014208173688,"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."}}