{"id":"W2582292888","doi":"10.1088/1361-6544/aa72b7","title":"Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion","year":2017,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Integrable system; Hamiltonian system; Regular polygon; Stability (learning theory); Mathematics; Hamiltonian (control theory); Diffusion; Applied mathematics; Mathematical analysis; Mathematical optimization; Physics; Computer science; Geometry; Quantum mechanics","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":[0.0004615543,0.000168955,0.0004903721,0.00002523483,0.000274804,0.0001939549,0.0002358003,0.00008527716,0.00003371579],"category_scores_gemma":[0.00006391461,0.0001356086,0.0001470238,0.00003372149,0.0001605154,0.0001713452,0.0001140026,0.0001631086,0.000002031296],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002480265,"about_ca_system_score_gemma":0.00005921959,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01184006,"about_ca_topic_score_gemma":0.00007253171,"domain_scores_codex":[0.99885,0.00004031386,0.000392117,0.0003291133,0.0001294245,0.000258965],"domain_scores_gemma":[0.9986596,0.0001105421,0.0003420076,0.0005899329,0.0001693585,0.000128604],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0005528647,0.001983099,0.9144223,0.00110012,0.0003082652,0.000001296309,0.0005856036,0.00008459801,0.0398015,0.030008,0.0000934233,0.01105895],"study_design_scores_gemma":[0.001333561,0.0002681135,0.02088876,0.00006744287,0.00005337939,4.563033e-7,0.0004017217,0.974252,0.001253574,0.0008992513,0.0003759142,0.0002057728],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9788947,0.00004191949,0.01916115,0.00007781903,0.0002612272,0.0005709245,0.0003709411,0.00001640698,0.0006049104],"genre_scores_gemma":[0.9986637,0.000001346545,0.0006967726,0.000003106177,0.0002887009,0.0000147899,0.00004390566,0.0000143421,0.0002732832],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9741675,"threshold_uncertainty_score":0.9947402,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02644547881140735,"score_gpt":0.2842670137218088,"score_spread":0.2578215349104014,"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."}}