{"id":"W2087245381","doi":"10.4310/jsg.2013.v11.n1.a3","title":"Uniqueness of generating Hamiltonians for topological Hamiltonian flows","year":2013,"lang":"en","type":"preprint","venue":"Journal of Symplectic Geometry","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada","keywords":"Hamiltonian (control theory); Uniqueness; Mathematics; Topology (electrical circuits); Mathematical physics; Hamiltonian system; Physics; Pure mathematics; Combinatorics; Mathematical analysis; Mathematical optimization","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":[0.001198839,0.0005236451,0.0005673238,0.001891678,0.00143062,0.002116043,0.0008880757,0.001565543,0.003170604],"category_scores_gemma":[0.003863393,0.0004682776,0.0007084984,0.0006324502,0.002504029,0.002989186,0.002405104,0.001497962,0.0003380373],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007408636,"about_ca_system_score_gemma":0.0005733502,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001983719,"about_ca_topic_score_gemma":0.000223315,"domain_scores_codex":[0.9995356,0.0001437097,0.00002546591,0.0001024033,0.00007951909,0.0001133603],"domain_scores_gemma":[0.9984125,0.0007506303,0.000228873,0.0001144322,0.0001707521,0.0003227953],"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":[0.00001161949,0.00002360288,0.0005531811,0.00004010044,0.00000610568,0.0001226816,0.0004148455,0.0009932942,0.002253799,0.9915013,0.0004411858,0.003638208],"study_design_scores_gemma":[0.0000276505,0.00005088421,0.0007723572,0.00002607839,0.00001191524,0.0004110107,0.0003836262,0.01889341,0.002341377,0.9755298,0.001522033,0.00002987827],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7981881,0.0007274446,0.1688341,0.001256282,0.0001577781,0.00009725658,0.0001902721,0.0001424227,0.03040633],"genre_scores_gemma":[0.9811656,0.0002625089,0.01455678,0.0001641221,0.0001078316,0.0000706974,0.0000966092,0.00005100443,0.003524816],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003170604,"threshold_uncertainty_score":0.01060677,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09246304361715646,"score_gpt":0.3418483873051814,"score_spread":0.249385343688025,"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."}}