{"id":"W3100290727","doi":"","title":"The Ginibre Ensemble and Gaussian Analytic Functions","year":2014,"lang":"en","type":"article","venue":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Gaussian; Limit (mathematics); Analytic function; Limiting; Polynomial; Complex normal distribution; Random matrix; Function (biology); Gaussian process; Gaussian integral; Gaussian function; Pure mathematics; Statistical physics; Combinatorics; Applied mathematics; Mathematical analysis; Quantum mechanics; Physics; Eigenvalues and eigenvectors","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":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0008984662,0.0001379144,0.0001986463,0.0001556238,0.002269986,0.0002725853,0.0006203394,0.0000589842,0.000003663585],"category_scores_gemma":[0.000362826,0.00009174595,0.00007858592,0.0006719685,0.002650257,0.0004541188,0.0001068435,0.0001415529,0.00001591493],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006805305,"about_ca_system_score_gemma":0.0002480838,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001438322,"about_ca_topic_score_gemma":0.0001529103,"domain_scores_codex":[0.9984974,0.00003040763,0.0003715218,0.0003420769,0.0004531915,0.0003053964],"domain_scores_gemma":[0.9983622,0.0002592464,0.0002416272,0.0008212446,0.0001467877,0.0001688287],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00007127898,0.0001995327,0.00307254,0.0002229757,0.00008020399,0.00001332812,0.002575895,0.0001018846,0.0513818,0.9231284,0.004301235,0.01485095],"study_design_scores_gemma":[0.006144675,0.0009433997,0.1127594,0.0006755902,0.0009083741,0.001425369,0.007586219,0.01141551,0.06610996,0.351879,0.4376981,0.002454398],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9323145,0.00007343182,0.002997776,0.001025197,0.001144953,0.0003742453,0.000003997741,0.00006532985,0.06200054],"genre_scores_gemma":[0.9942162,0.00002006864,0.002667905,0.00003359972,0.0002095623,0.00003008548,9.307974e-7,0.00001031229,0.002811304],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5712494,"threshold_uncertainty_score":0.9990289,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01929749233835013,"score_gpt":0.2740324752569263,"score_spread":0.2547349829185761,"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."}}