{"id":"W1766005166","doi":"10.1016/j.aam.2015.05.001","title":"Star-cumulants of free unitary Brownian motion","year":2015,"lang":"en","type":"preprint","venue":"Advances in Applied Mathematics","topic":"Stochastic processes and financial applications","field":"Economics, Econometrics and Finance","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo; Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Cumulant; Mathematics; Unitary state; Diagonal; Brownian motion; Connection (principal bundle); Infinity; Free probability; Mathematical physics; Combinatorics; Mathematical analysis; Geometry; Statistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003030158,0.001216443,0.001646871,0.003268324,0.0009299071,0.002753636,0.001930663,0.001780872,0.005604902],"category_scores_gemma":[0.01316893,0.0006869523,0.001318447,0.001817347,0.003685356,0.004438202,0.002054869,0.002608514,0.0008868948],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001540329,"about_ca_system_score_gemma":0.001514833,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002486478,"about_ca_topic_score_gemma":0.001723674,"domain_scores_codex":[0.9988753,0.0003638881,0.00006954703,0.0001847112,0.0003218074,0.0001846086],"domain_scores_gemma":[0.9938763,0.002816671,0.0007565061,0.0005295107,0.001062279,0.0009587701],"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":[0.00003017784,0.00002332955,0.0002276285,0.00003600579,0.00001360179,0.0000510064,0.00008886966,0.007688037,0.0008123403,0.9870902,0.001045339,0.002893601],"study_design_scores_gemma":[0.00001238826,0.00001372208,0.0003116962,0.00001103804,0.000007567297,0.00006062362,0.00002754375,0.1300752,0.0002963246,0.8682866,0.0008692878,0.00002803891],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2761091,0.002657844,0.6928328,0.001791133,0.0009476418,0.00007372346,0.0004200258,0.0004099415,0.02475767],"genre_scores_gemma":[0.9296473,0.002061648,0.04047583,0.0006263074,0.001224473,0.00009776646,0.0005303224,0.0004034769,0.02493285],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005604902,"threshold_uncertainty_score":0.01875025,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04277739905697449,"score_gpt":0.2629593807140778,"score_spread":0.2201819816571033,"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."}}