{"id":"W3099541776","doi":"","title":"Loop equations and topological recursion for the arbitrary-β two-matrix model","year":2012,"lang":"en","type":"article","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Recursion (computer science); Hermitian matrix; Bethe ansatz; Algebraic curve; Matrix (chemical analysis); Degenerate energy levels; Loop (graph theory); Ansatz; Differential equation; Order (exchange); Operator (biology); Topology (electrical circuits); Pure mathematics; Mathematical analysis; Mathematical physics; Physics; Quantum mechanics; Combinatorics; Algorithm; Integrable system","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":[0.00255051,0.0001390762,0.000160714,0.00003665495,0.0005289559,0.0001002773,0.0003595957,0.00009669088,0.0000532288],"category_scores_gemma":[0.002028071,0.0001006659,0.00009304741,0.000133514,0.000146367,0.0001525184,0.0001917015,0.0001701122,0.000003906106],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003204437,"about_ca_system_score_gemma":0.00004437494,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007008932,"about_ca_topic_score_gemma":0.00005909874,"domain_scores_codex":[0.9983669,0.0007049731,0.0002447933,0.0002137624,0.000194167,0.0002754016],"domain_scores_gemma":[0.9941335,0.004517158,0.0001485251,0.0006676397,0.000418759,0.0001143682],"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":[0.000007959567,0.0001082663,0.0001206379,0.00001542507,0.000016249,5.140371e-8,0.002176259,0.00001840744,0.0002012875,0.9932513,0.0003532466,0.003730933],"study_design_scores_gemma":[0.0005155114,5.476638e-7,0.0001171302,0.00006499059,0.00004985398,0.000004357193,0.0001519946,0.09839922,0.003158325,0.896,0.001386574,0.000151535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2438779,0.001233348,0.7392399,0.00857251,0.00023788,0.0005507267,0.00001557657,0.0001137929,0.00615837],"genre_scores_gemma":[0.942299,0.00008449562,0.05417839,0.00009242071,0.00004532262,0.00006731373,0.00001522141,0.00001884392,0.003199007],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6984211,"threshold_uncertainty_score":0.4105036,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03940291227691291,"score_gpt":0.2984397231190758,"score_spread":0.2590368108421629,"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."}}