{"id":"W1963957193","doi":"10.1063/1.3167802","title":"Random matrices with external source and KP τ functions","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Random matrix; Matrix (chemical analysis); Function (biology); Partition function (quantum field theory); Random function; Matrix algebra; Partition (number theory)","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":[],"consensus_categories":[],"category_scores_codex":[0.0003746123,0.0001544529,0.0004461505,0.00005401855,0.000116258,0.00009205542,0.000156702,0.00004545623,0.0000454243],"category_scores_gemma":[0.0001078484,0.00009587048,0.0001358178,0.0001938019,0.00006341411,0.0002190853,0.00001718992,0.0002364712,0.00001714678],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001691715,"about_ca_system_score_gemma":0.00002950446,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.515415e-7,"about_ca_topic_score_gemma":1.603447e-7,"domain_scores_codex":[0.9987933,0.00003486834,0.0005084642,0.0001056118,0.0003881212,0.0001696492],"domain_scores_gemma":[0.9983038,0.000716052,0.0004957485,0.0001860879,0.0001567525,0.0001415689],"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":[0.002147194,0.004866745,0.0003960258,0.0009525222,0.0006211448,0.00008162473,0.003487966,0.0008052049,0.005134983,0.8517134,0.01861851,0.1111747],"study_design_scores_gemma":[0.003570946,0.0003677082,0.0001679079,0.0002415854,0.0003839304,0.0004959412,0.0002629953,0.001347581,0.0003064638,0.9916816,0.00099303,0.0001802642],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2384295,0.000220529,0.757661,0.0006480427,0.00002234932,0.0001818357,0.000002065625,0.00002779023,0.002806889],"genre_scores_gemma":[0.881931,0.00008701735,0.1163929,0.0001279479,0.0006404654,0.000006393366,4.094352e-7,0.00002828384,0.0007855413],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6435015,"threshold_uncertainty_score":0.3909484,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01974244968688639,"score_gpt":0.2821296852947585,"score_spread":0.2623872356078721,"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."}}