{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009987763,0.00036435,0.00055606,0.0009339913,0.000667429,0.0009616741,0.000753639,0.000706312,0.002261204],"category_scores_gemma":[0.003523048,0.0001841308,0.0003977948,0.0003921507,0.001972631,0.001743605,0.0009967553,0.001166775,0.0004936652],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006658603,"about_ca_system_score_gemma":0.0005191232,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001239554,"about_ca_topic_score_gemma":0.001098049,"domain_scores_codex":[0.9996006,0.0001392748,0.000009212891,0.00006330983,0.0001059065,0.00008178014],"domain_scores_gemma":[0.999202,0.000275941,0.0001075928,0.0001421531,0.0001293121,0.0001430715],"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":[0.00001463687,0.00001021755,0.0002875197,0.00001437116,0.000006685053,0.00006889815,0.00008357134,0.02059636,0.001944975,0.9735806,0.0004871571,0.00290501],"study_design_scores_gemma":[0.000007071259,0.00002788446,0.0003928994,0.00001147165,0.000005609976,0.0001326232,0.00004000761,0.4469534,0.001518167,0.549232,0.001653113,0.00002577981],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3700543,0.0007408322,0.5885472,0.00130058,0.0001479254,0.00003377614,0.0001300308,0.0003253629,0.03872002],"genre_scores_gemma":[0.9594875,0.0003622898,0.03084984,0.0001612085,0.00008193541,0.0000430617,0.00006166899,0.000108931,0.008843571],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002261204,"threshold_uncertainty_score":0.007564425,"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."}}