{"id":"W2912366536","doi":"10.1017/etds.2021.13","title":"The essential coexistence phenomenon in Hamiltonian dynamics","year":2021,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Lyapunov exponent; Bernoulli's principle; Mathematics; Bernoulli scheme; Chaotic; Invariant (physics); Zero (linguistics); Hamiltonian (control theory); Mathematical physics; Hamiltonian system; Flow (mathematics); Manifold (fluid mechanics); Pure mathematics; Mathematical analysis; Physics; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001853901,0.0001992688,0.0002868765,0.0009406023,0.0008004527,0.0005173467,0.0003036784,0.0003313051,0.001596427],"category_scores_gemma":[0.0005707834,0.0001632141,0.0002510958,0.0002279644,0.001868712,0.0008487877,0.001528303,0.0003489635,0.00006547668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002816847,"about_ca_system_score_gemma":0.0001752379,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004194091,"about_ca_topic_score_gemma":0.0003084892,"domain_scores_codex":[0.9998555,0.00003878603,0.000007224425,0.00001815988,0.00004338096,0.00003681161],"domain_scores_gemma":[0.9997367,0.00007449106,0.00004598821,0.0000405757,0.00003513785,0.00006698549],"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":[0.0002304023,0.00008024299,0.005153503,0.0001264207,0.00005153497,0.002043986,0.00149572,0.019596,0.08965082,0.8716977,0.0005669302,0.009306765],"study_design_scores_gemma":[0.0001176148,0.0002310457,0.01100734,0.00004638173,0.00004570913,0.002058405,0.00126526,0.3056128,0.02955189,0.6438233,0.006178144,0.00006210209],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9713329,0.00009688061,0.02195701,0.000139627,0.00001265999,0.00001168365,0.00002507048,0.00006674656,0.006357386],"genre_scores_gemma":[0.9972872,0.00001859048,0.002389765,0.000005972245,0.00000392076,0.000006856989,0.00001099133,0.000006433883,0.0002702886],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001596427,"threshold_uncertainty_score":0.005340576,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004066206959802101,"score_gpt":0.2223547261555713,"score_spread":0.2182885191957692,"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."}}