{"id":"W1486235110","doi":"10.5802/aif.1986","title":"Length minimizing Hamiltonian paths for symplectically aspherical manifolds","year":2003,"lang":"en","type":"article","venue":"Annales de l’institut Fourier","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Contractible space; Maxima and minima; Hamiltonian (control theory); Mathematics; Floer homology; Hamiltonian system; Hamiltonian path; Pure mathematics; Mathematical analysis; Geometry; Combinatorics; Mathematical optimization; Symplectic geometry","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":[0.0002166213,0.0003147877,0.000195352,0.0008594405,0.0008283447,0.0006584652,0.0003412075,0.0004456192,0.004090952],"category_scores_gemma":[0.0008650779,0.0001839092,0.0002907047,0.0003651329,0.001186251,0.001463168,0.0007772674,0.0004900906,0.0002309832],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000626395,"about_ca_system_score_gemma":0.0002772691,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005198189,"about_ca_topic_score_gemma":0.0004646347,"domain_scores_codex":[0.9998575,0.0000297009,0.000006039021,0.00002801706,0.00004506555,0.00003353085],"domain_scores_gemma":[0.9996015,0.0001113659,0.0001277097,0.00002758171,0.00004582955,0.00008585374],"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":[0.00005087153,0.0000220223,0.001295978,0.00006035553,0.00001539786,0.0002851576,0.0006387724,0.01200319,0.01147547,0.9621104,0.0005816891,0.01146071],"study_design_scores_gemma":[0.00002052966,0.0001099177,0.002199947,0.00001522998,0.00001034981,0.0002135149,0.000254629,0.05159042,0.003121868,0.9399924,0.002447065,0.00002414001],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9497228,0.0002141532,0.03997201,0.0001825419,0.00002514979,0.00001984271,0.00007256881,0.00006012879,0.009730847],"genre_scores_gemma":[0.9860024,0.0001906909,0.008269502,0.00003399846,0.00003961872,0.00003335493,0.00009426534,0.00003969349,0.00529651],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004090952,"threshold_uncertainty_score":0.01368564,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05253745861470977,"score_gpt":0.3121681441299348,"score_spread":0.2596306855152251,"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."}}