{"id":"W1661494265","doi":"10.1007/bfb0021440","title":"Isospectral flow and Liouville-Arnold integration in loop algebrast","year":2005,"lang":"en","type":"book-chapter","venue":"Lecture notes in physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Concordia University; Université de Montréal","funders":"","keywords":"Isospectral; Mathematics; Integrable system; Symplectic geometry; Moment map; Pure mathematics; Hamiltonian system; Hamiltonian (control theory); Mathematical analysis; Invariant (physics); Eigenvalues and eigenvectors; Nonlinear system; Mathematical physics; Physics; 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00005563019,0.0004346086,0.0004752014,0.0001046876,0.00004707366,0.0000659759,0.0001385841,0.0002398513,0.0002595139],"category_scores_gemma":[0.000004184982,0.0004110669,0.0001437681,0.00008161647,0.00008267045,0.000101622,0.00006676749,0.001013751,0.0000332778],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000700139,"about_ca_system_score_gemma":0.00006298646,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001062384,"about_ca_topic_score_gemma":0.0003378522,"domain_scores_codex":[0.9987466,0.00001662337,0.0003271475,0.000438336,0.0001552234,0.000316072],"domain_scores_gemma":[0.9994004,0.00008541167,0.0001246707,0.0002922324,0.00003381317,0.0000634188],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002510639,0.000117368,0.001381146,0.00002815142,0.00006573662,0.000009368056,0.0007684577,0.002445395,0.00013855,0.2710489,0.00008597199,0.7238858],"study_design_scores_gemma":[0.001242137,0.0001186666,0.0004796788,0.000684592,0.00008464502,0.000002941561,0.00002558858,0.01848355,0.002433555,0.9630633,0.01208734,0.001293996],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.01870724,0.002721612,0.1470792,0.001646944,0.001238434,0.001963286,0.0009328374,0.0001615995,0.8255488],"genre_scores_gemma":[0.9745269,0.0001175748,0.004892131,0.0003341417,0.006898836,0.00001946095,0.0007833149,0.000173083,0.01225459],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9558196,"threshold_uncertainty_score":0.9998341,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008739102021130492,"score_gpt":0.2318927136964371,"score_spread":0.2231536116753066,"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."}}