{"id":"W2810970547","doi":"10.1063/1.5123478","title":"Invariant tori for a class of singly thermostated Hamiltonians","year":2020,"lang":"en","type":"preprint","venue":"Journal of Mathematical Physics","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Torus; Thermostat; Invariant (physics); Hamiltonian (control theory); Mathematics; Kolmogorov–Arnold–Moser theorem; Hamiltonian system; Physics; Vector field; Pure mathematics; Mathematical analysis; Mathematical physics; Geometry; Thermodynamics","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":[0.0004036052,0.0004193462,0.000550455,0.001325246,0.001175405,0.001238986,0.0005644009,0.0003495239,0.003105622],"category_scores_gemma":[0.001137834,0.0003237694,0.0006006918,0.0002609048,0.002681654,0.001152796,0.001471824,0.0008068513,0.0001951578],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005627182,"about_ca_system_score_gemma":0.00044845,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004826565,"about_ca_topic_score_gemma":0.0004715235,"domain_scores_codex":[0.9995958,0.00006857559,0.00002799279,0.00008010419,0.0001400175,0.0000874973],"domain_scores_gemma":[0.9992379,0.0002264534,0.0002192957,0.00008442832,0.00007665909,0.0001552307],"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":[0.0001271131,0.00004077467,0.002535846,0.0001509091,0.00004925645,0.0007277379,0.0005746804,0.01643793,0.01907544,0.9528747,0.0009733084,0.006432323],"study_design_scores_gemma":[0.00007321376,0.0002250656,0.007195674,0.00005749278,0.00005583599,0.001448512,0.0007822519,0.2744275,0.01277398,0.6978902,0.004951234,0.0001189998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9096476,0.0005153046,0.06684906,0.0002388545,0.00007125864,0.00004976197,0.0002249446,0.0001629062,0.02224025],"genre_scores_gemma":[0.9907387,0.0001186081,0.007075778,0.00002182158,0.0000422861,0.00004569132,0.0001142424,0.00002617027,0.001816721],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003105622,"threshold_uncertainty_score":0.01038933,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03786379400762294,"score_gpt":0.2834143164350926,"score_spread":0.2455505224274697,"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."}}