{"id":"W2318888939","doi":"10.4153/cjm-2010-075-4","title":"Limit Theorems for Additive Conditionally Free Convolution","year":2010,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Mathematics; Convolution (computer science); Infinitesimal; Infinite divisibility; Convolution power; Limit (mathematics); Free probability; Central limit theorem; Limiting; Pure mathematics; Convergence of random variables; Discrete mathematics; Random variable; Mathematical analysis; Statistics; Fourier transform; Fourier 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":[0.006034884,0.0007689184,0.0008761433,0.002842399,0.00119383,0.002403799,0.00190803,0.0009598305,0.004859462],"category_scores_gemma":[0.02358559,0.0004407539,0.001419334,0.0009126354,0.004406233,0.006142081,0.003035514,0.002313433,0.0004363672],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002163464,"about_ca_system_score_gemma":0.0009679631,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001489344,"about_ca_topic_score_gemma":0.0008654213,"domain_scores_codex":[0.9974023,0.0008081343,0.0001506505,0.0004336676,0.0008889913,0.0003162071],"domain_scores_gemma":[0.9838065,0.01008706,0.001144512,0.001120973,0.002583676,0.001257353],"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":[0.00001802416,0.00001777098,0.000474881,0.00003635478,0.00001555132,0.0001083104,0.0001089296,0.004870508,0.001190329,0.9908227,0.0002487929,0.002087933],"study_design_scores_gemma":[0.00001268389,0.00003513904,0.0008297383,0.0000296545,0.00001762617,0.0003425097,0.0000621896,0.1731195,0.002309772,0.8222318,0.0009727942,0.000036703],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2950218,0.0007926273,0.6762302,0.001071051,0.0001191453,0.00005639148,0.000147049,0.0004840158,0.02607763],"genre_scores_gemma":[0.963177,0.0003526001,0.02871158,0.0003018682,0.0001968191,0.0001108863,0.0001057661,0.0001629012,0.006880626],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006034884,"threshold_uncertainty_score":0.0319159,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02812788371363011,"score_gpt":0.2808744447477408,"score_spread":0.2527465610341106,"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."}}