{"id":"W4402818072","doi":"10.1007/s44198-024-00225-w","title":"Cosymplectic Geometry, Reductions, and Energy-Momentum Methods with Applications","year":2024,"lang":"en","type":"article","venue":"Journal of Nonlinear Mathematical Physics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; Université du Québec à Montréal","funders":"Université de Montréal; Narodowym Centrum Nauki; Simons Foundation","keywords":"Mathematics; Geometry; Momentum (technical analysis); Energy (signal processing); Classical mechanics; Theoretical physics; Calculus (dental); Physics; Statistics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002652175,0.0001314063,0.0002994637,0.00006290061,0.00006982346,0.0001183284,0.00009310489,0.00002735022,0.00007267337],"category_scores_gemma":[0.000006506936,0.00008557202,0.0001145718,0.0003346393,0.00007619973,0.0001495718,0.00002799935,0.0002148135,0.00001245054],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002428035,"about_ca_system_score_gemma":0.00006561384,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005714445,"about_ca_topic_score_gemma":1.142651e-7,"domain_scores_codex":[0.9990834,0.00004896378,0.0003838046,0.0001321524,0.0002033484,0.0001483445],"domain_scores_gemma":[0.9992118,0.0002729732,0.0001437628,0.0001331809,0.0001049917,0.0001333186],"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":[0.00001064957,0.0003598006,0.00005904366,0.0001855776,0.0003165991,0.000003788327,0.0001085367,0.00005940791,0.001103704,0.9164261,0.0003296076,0.08103724],"study_design_scores_gemma":[0.0003418689,0.0002605107,0.00002120397,0.0003405949,0.000303661,0.0001383258,0.000358598,0.09653397,0.0008193469,0.8654237,0.03520453,0.0002536271],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.009376138,0.0003470106,0.9875942,0.0002996795,0.00009857272,0.00007108911,0.00001577411,0.00001868294,0.002178808],"genre_scores_gemma":[0.780602,0.00003032208,0.2150147,0.00003314057,0.003274374,0.00003798958,0.00001297834,0.0000636304,0.0009308371],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7725796,"threshold_uncertainty_score":0.3489526,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01325730993827932,"score_gpt":0.3131480675967782,"score_spread":0.2998907576584989,"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."}}