{"id":"W2108605986","doi":"10.1007/s40315-015-0120-4","title":"Logarithmic Potential Theory and Large Deviation","year":2015,"lang":"en","type":"article","venue":"Computational Methods and Function Theory","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Logarithm; Large deviations theory; Random matrix; Rate function; Plane (geometry); Sequence (biology); Combinatorics; Mathematical analysis; Pure mathematics; Geometry; Quantum mechanics; Physics; Statistics","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":[0.003422981,0.001488299,0.0016652,0.002187495,0.0009145095,0.002960423,0.002378299,0.002374108,0.007211552],"category_scores_gemma":[0.02347254,0.0005732065,0.0008700689,0.001786041,0.005092043,0.006737831,0.002992111,0.004507327,0.001079895],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002005295,"about_ca_system_score_gemma":0.001086581,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008320695,"about_ca_topic_score_gemma":0.0005671637,"domain_scores_codex":[0.9982176,0.001077206,0.0000533742,0.000150366,0.0004112669,0.00009003285],"domain_scores_gemma":[0.9852151,0.01187858,0.0007179251,0.0008983449,0.000847167,0.0004429222],"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":[0.000005536376,0.000005576069,0.00005111087,0.00003481028,0.000005633765,0.00001037597,0.00001737223,0.004567336,0.00005886389,0.9921881,0.0009876706,0.002067578],"study_design_scores_gemma":[0.000004054513,0.000002618977,0.00003676834,0.000009331586,0.000002009583,0.00001225632,0.00000509742,0.03153529,0.00003575086,0.9674898,0.0008628216,0.000004180721],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02615806,0.01031065,0.8955637,0.01204413,0.000947216,0.00004187518,0.0002776795,0.0003543489,0.05430236],"genre_scores_gemma":[0.8237965,0.01072048,0.1002234,0.002950805,0.003398299,0.0004362023,0.0004775196,0.0006529029,0.05734399],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007211552,"threshold_uncertainty_score":0.0241251,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04827332749949915,"score_gpt":0.3879767295054659,"score_spread":0.3397034020059667,"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."}}