{"id":"W4385970196","doi":"10.48550/arxiv.2308.01892","title":"Hamiltonian structure of isomonodromic deformation dynamics in linear systems of PDE's","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Riemann sphere; Meromorphic function; Pure mathematics; Poisson bracket; Vector field; Invariant (physics); Rational function; Poisson manifold; Mathematical analysis; Mathematical physics; Symplectic geometry; Geometry; Lie algebra","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003174634,0.0003398565,0.0003660104,0.0009419251,0.000736151,0.001224102,0.0005561657,0.0005844529,0.004173083],"category_scores_gemma":[0.0005803732,0.0002323848,0.0003778426,0.0003176856,0.001842656,0.001412083,0.0009521985,0.0007246976,0.0002999968],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001103675,"about_ca_system_score_gemma":0.0005118301,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001140857,"about_ca_topic_score_gemma":0.001182262,"domain_scores_codex":[0.9998488,0.00003616759,0.000008618934,0.00002946701,0.00004382795,0.00003308443],"domain_scores_gemma":[0.999783,0.00003484089,0.00004708617,0.00002912293,0.00003989655,0.00006601962],"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":[0.00001287062,0.0000279804,0.0003607733,0.00001794116,0.000005723506,0.000120046,0.0002367792,0.006571812,0.002330805,0.9876314,0.0003279673,0.002355838],"study_design_scores_gemma":[0.00002225329,0.00004163874,0.000905163,0.00001261598,0.000003881089,0.000137949,0.000189645,0.1361738,0.0006498118,0.8605866,0.001258904,0.00001754002],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8408622,0.0005867035,0.1180189,0.001050814,0.0001241029,0.00005454734,0.0001330623,0.0001440322,0.03902573],"genre_scores_gemma":[0.9853582,0.0001869191,0.00677154,0.00008484245,0.00007291167,0.00003082617,0.00005056762,0.0000375538,0.007406593],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004173083,"threshold_uncertainty_score":0.0139603,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03244252366987148,"score_gpt":0.1933841297999448,"score_spread":0.1609416061300733,"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."}}