{"id":"W2037293879","doi":"10.1134/s1560354710040076","title":"Contact complete integrability","year":2010,"lang":"en","type":"article","venue":"Regular and Chaotic Dynamics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Dynamical billiards; Integrable system; Symplectic geometry; Foliation (geology); Invariant (physics); Equivalence (formal languages); Space (punctuation); Ellipsoid","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":[0.0001694879,0.000158474,0.0002463666,0.0000256062,0.0001123684,0.00006408636,0.0001226156,0.0000628976,0.0002570745],"category_scores_gemma":[0.000007110845,0.0001287882,0.00009805187,0.00006816597,0.0001054992,0.00006114048,0.0000536956,0.0002792648,0.00002930816],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001521087,"about_ca_system_score_gemma":0.00001914372,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004060608,"about_ca_topic_score_gemma":0.0001381705,"domain_scores_codex":[0.9991475,0.00002795247,0.00021253,0.0002532207,0.0001185817,0.0002401601],"domain_scores_gemma":[0.9993859,0.00005491351,0.00006368506,0.0003014554,0.00004289893,0.0001511665],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000007774119,0.00007581669,0.05641505,0.00002416305,0.00003565948,0.000001254978,0.00006708353,0.000003345511,0.001849467,0.930261,0.00003927048,0.01122008],"study_design_scores_gemma":[0.001155492,0.0001285873,0.05292282,0.00005058304,0.00006712861,0.00002025013,0.0006193096,0.8070784,0.00008515426,0.1303926,0.006831226,0.0006484385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9746814,0.00001502776,0.01530784,0.0002617992,0.0003915664,0.0001688207,0.00009588796,0.00003942945,0.00903821],"genre_scores_gemma":[0.9987927,9.069101e-7,0.0003140969,0.00002396079,0.0001927566,0.000008130703,0.00008856576,0.00001564948,0.0005632521],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8070751,"threshold_uncertainty_score":0.5251831,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005841713561093372,"score_gpt":0.2126556558009848,"score_spread":0.2068139422398915,"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."}}