{"id":"W2114112377","doi":"10.1016/j.aim.2009.03.019","title":"Asymptotics of unitary and orthogonal matrix integrals","year":2009,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Unitary state; Unitary matrix; Smoothness; Matrix (chemical analysis); Limit (mathematics); Unitary group; Convergence (economics); Pure mathematics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006165453,0.001136511,0.001852928,0.003634555,0.001241238,0.003425975,0.002981288,0.002643817,0.008230919],"category_scores_gemma":[0.05559593,0.0009660762,0.001064198,0.002254923,0.005985318,0.008627852,0.003892397,0.003808429,0.001103969],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002319633,"about_ca_system_score_gemma":0.001646877,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001664644,"about_ca_topic_score_gemma":0.001379766,"domain_scores_codex":[0.9977123,0.000942649,0.00008326709,0.0002619484,0.0006920681,0.0003077771],"domain_scores_gemma":[0.974447,0.01797275,0.001549648,0.002163172,0.002569205,0.001298312],"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":[0.0000640228,0.00003311793,0.000630378,0.00008151724,0.00002047338,0.0000759691,0.0001256862,0.01122298,0.0006561058,0.9806525,0.001761828,0.004675467],"study_design_scores_gemma":[0.00002546554,0.00001671876,0.0009200172,0.00005669819,0.00002048684,0.0002088078,0.00009084969,0.1487673,0.0004221299,0.8480845,0.001347659,0.00003940105],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.224932,0.008254808,0.6687751,0.007199779,0.0009355342,0.0000764103,0.0004216554,0.001119697,0.08828504],"genre_scores_gemma":[0.9335694,0.003681211,0.03846973,0.000881848,0.002071857,0.0001754107,0.0004848407,0.0006074008,0.0200584],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008230919,"threshold_uncertainty_score":0.03260648,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01796720412981559,"score_gpt":0.3558668664832675,"score_spread":0.337899662353452,"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."}}