{"id":"W1981862680","doi":"10.4153/cmb-2014-004-9","title":"Strong Asymptotic Freeness for Free Orthogonal Quantum Groups","year":2014,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Noncommutative geometry; Free probability; Free group; Commutative property; Norm (philosophy); Unitary state; Equivalence (formal languages); Polynomial; Pure mathematics; Unitary matrix; Quantum; Operator (biology); Discrete mathematics; Group (periodic table); Mathematical analysis; Quantum mechanics","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":[0.00324761,0.0003376679,0.000617524,0.002084198,0.001198174,0.001444059,0.001009125,0.0006253765,0.003291194],"category_scores_gemma":[0.01268194,0.0002338873,0.0004924151,0.000627693,0.004233276,0.003370027,0.003174152,0.001325363,0.0002307218],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001157927,"about_ca_system_score_gemma":0.0008967056,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001142022,"about_ca_topic_score_gemma":0.0009313488,"domain_scores_codex":[0.9979355,0.000497592,0.00007151258,0.0003646865,0.0008854765,0.0002453153],"domain_scores_gemma":[0.9915769,0.00386828,0.000791295,0.0007137439,0.00196348,0.001086249],"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":[0.00003585368,0.00002475491,0.0006978216,0.00003559245,0.00001105401,0.0001154835,0.0003283018,0.004137784,0.003213926,0.9868188,0.0002879453,0.00429264],"study_design_scores_gemma":[0.00001531117,0.00007390165,0.0009896602,0.00001323995,0.000005788132,0.0001885456,0.000125544,0.0662657,0.002677747,0.9284678,0.001153383,0.00002347695],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7082268,0.0003591325,0.2663017,0.0007822797,0.00009502777,0.00004316123,0.00008965469,0.0002749281,0.02382733],"genre_scores_gemma":[0.9903222,0.00008209235,0.006299356,0.00008093154,0.00007626882,0.00003509059,0.00004463535,0.00002640064,0.00303306],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003291194,"threshold_uncertainty_score":0.0171752,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03952761943600746,"score_gpt":0.3061511055780102,"score_spread":0.2666234861420028,"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."}}