{"id":"W1978048313","doi":"10.1007/s00440-010-0260-4","title":"Stochastic aspects of easy quantum groups","year":2010,"lang":"en","type":"article","venue":"Probability Theory and Related Fields","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Haar measure; Mathematics; Mathematical finance; Measure (data warehouse); Computation; Quantum; Representation (politics); Haar; Group (periodic table); Stochastic process; Pure mathematics; Discrete mathematics; Algebra over a field; Algorithm; Statistics; Quantum mechanics; 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":[0.001902649,0.0001360939,0.0002506525,0.0000537902,0.0000957059,0.00001343096,0.0001798433,0.0003684759,0.0005033628],"category_scores_gemma":[0.003556834,0.0001048986,0.00006654795,0.0001662483,0.0004095308,0.0001072244,0.0001125225,0.001039769,0.00001307097],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001067867,"about_ca_system_score_gemma":0.00004900199,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002674644,"about_ca_topic_score_gemma":0.0000146418,"domain_scores_codex":[0.9987365,0.0002372159,0.000334992,0.0002736481,0.0001814437,0.0002361946],"domain_scores_gemma":[0.9977362,0.00149135,0.00008258181,0.0004720829,0.0001129157,0.0001048622],"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":[0.0001303553,0.0001612708,0.00008958954,0.0001530249,0.00003877962,0.000003596531,0.0007437655,0.00001794779,0.00255699,0.9951332,0.000007297953,0.0009641763],"study_design_scores_gemma":[0.0003450991,0.0001370743,0.0002070406,0.0000321095,0.00002444033,0.00002554045,0.00009451214,0.000473886,0.002062719,0.9964634,0.00001386681,0.0001202864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.980838,0.0001036831,0.01033866,0.0001928185,0.000226934,0.0004460631,0.000004119894,0.0000783325,0.007771363],"genre_scores_gemma":[0.9983168,0.000006637152,0.001314216,0.00001478013,0.00002439401,0.00001381562,0.00000131576,0.00001679929,0.0002912726],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01747874,"threshold_uncertainty_score":0.551147,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01995507637008469,"score_gpt":0.2998705085534856,"score_spread":0.2799154321834009,"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."}}