{"id":"W2020118849","doi":"10.1063/1.3054865","title":"The partition function of the two-matrix model as an isomonodromic τ function","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Molecular spectroscopy and chirality","field":"Chemistry","cited_by":18,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; Concordia University","funders":"Fonds Québécois de la Recherche sur la Nature et les Technologies; Agence Nationale de la Recherche; European Science Foundation","keywords":"Mathematics; Generalization; Partition function (quantum field theory); Ordinary differential equation; Pure mathematics; Partition (number theory); Matrix (chemical analysis); Monodromy matrix; Function (biology); Rational function; Ramanujan tau function; Monodromy; Mathematical analysis; Differential equation; Applied mathematics; Combinatorics; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0006166597,0.0007534562,0.0007755015,0.001328261,0.001115709,0.001968832,0.001339754,0.001713703,0.003742239],"category_scores_gemma":[0.0007416331,0.0003138061,0.000702502,0.0006065437,0.002357779,0.002241783,0.0009839756,0.001224961,0.0005981384],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001100011,"about_ca_system_score_gemma":0.0007833887,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001890808,"about_ca_topic_score_gemma":0.0009586479,"domain_scores_codex":[0.9998152,0.00004193341,0.000005441602,0.00002504006,0.00005074267,0.00006158683],"domain_scores_gemma":[0.9997476,0.00004966527,0.00002913062,0.00004436496,0.00003814446,0.00009120817],"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":[0.0000381636,0.00002946893,0.0001279524,0.00002467503,0.000004718888,0.00009958234,0.000087906,0.008293244,0.002983759,0.9867331,0.0004997146,0.001077603],"study_design_scores_gemma":[0.00005815052,0.00004826842,0.000448697,0.00002322039,0.000008670258,0.0001718342,0.0001113704,0.1964587,0.00133077,0.8000259,0.001271926,0.00004244782],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8645875,0.000763159,0.0721396,0.002113509,0.0002931001,0.0000520846,0.0001340631,0.0001894508,0.05972757],"genre_scores_gemma":[0.9842896,0.000311945,0.004622617,0.0001873839,0.0001358834,0.00005744606,0.00008080313,0.00005685406,0.01025747],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003742239,"threshold_uncertainty_score":0.01251906,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01308621099508021,"score_gpt":0.2872503612316343,"score_spread":0.274164150236554,"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."}}