{"id":"W2051648971","doi":"10.4153/cmb-2011-132-4","title":"On Constructing Ergodic Hyperfinite Equivalence Relations of Non-Product Type","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Ottawa","keywords":"Mathematics; Equivalence relation; Equivalence (formal languages); Ergodic theory; Matrix equivalence; Logical equivalence; Pure mathematics; Product (mathematics); Quotient algebra; Type (biology); Algebra over a field; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001665157,0.0003228468,0.0004858428,0.001752454,0.001386131,0.001916451,0.0008017921,0.0005974666,0.004155634],"category_scores_gemma":[0.003825995,0.000357406,0.0007476627,0.0009709617,0.00271801,0.00312298,0.00267745,0.001621758,0.0008139726],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007350774,"about_ca_system_score_gemma":0.0004819824,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006206402,"about_ca_topic_score_gemma":0.0008257212,"domain_scores_codex":[0.9985631,0.0003367753,0.0001193935,0.0002887873,0.0004695308,0.0002225204],"domain_scores_gemma":[0.9977108,0.0009713381,0.0002449501,0.000470488,0.0003506874,0.0002515495],"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":[0.00003441016,0.0000642739,0.0008237041,0.00003205426,0.000006103239,0.0001493387,0.0005292021,0.001427306,0.003862669,0.9778064,0.0002299038,0.01503475],"study_design_scores_gemma":[0.00002581305,0.0001081768,0.001016685,0.00003310496,0.00002072458,0.0002056478,0.0002620669,0.01673015,0.01675121,0.9579332,0.006879037,0.0000341834],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5051207,0.0002417862,0.4469491,0.0001892246,0.0001131317,0.0001361312,0.0001460283,0.0005514536,0.0465524],"genre_scores_gemma":[0.9249472,0.0001348377,0.06794336,0.00008402949,0.00006631362,0.0000917392,0.0002715567,0.0001609841,0.006299989],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004155634,"threshold_uncertainty_score":0.01390201,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08268371816599808,"score_gpt":0.3150263731013518,"score_spread":0.2323426549353537,"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."}}