{"id":"W2052214519","doi":"10.1017/s1474748005000010","title":"PERIODIC PEAKONS AND CALOGERO–FRANÇOISE FLOWS","year":2005,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Saskatchewan","funders":"","keywords":"Peakon; Mathematics; Integrable system; Hamiltonian system; Pure mathematics; Camassa–Holm equation; Flow (mathematics); Mathematical analysis; Hamiltonian (control theory); Geometry; Mathematical optimization","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":[0.0003357606,0.0003011979,0.0002347221,0.0008064339,0.001054028,0.001126229,0.0003573786,0.0008364668,0.004459916],"category_scores_gemma":[0.001085966,0.0001377155,0.0002945491,0.0002818655,0.001820223,0.001473589,0.0008786949,0.0006862784,0.0002692591],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008291577,"about_ca_system_score_gemma":0.000488059,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001898918,"about_ca_topic_score_gemma":0.001220111,"domain_scores_codex":[0.9998788,0.00002864984,0.00000394452,0.00001957743,0.00003545808,0.00003360224],"domain_scores_gemma":[0.9998316,0.00004175118,0.0000369986,0.00001848804,0.00002523542,0.00004598169],"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":[0.0000116644,0.000009126102,0.0001883538,0.00001406906,0.00000259242,0.00008223359,0.0001229901,0.002682536,0.0008753662,0.9926137,0.0008031483,0.002594264],"study_design_scores_gemma":[0.00003916288,0.00001930905,0.0007675231,0.0000182025,0.00000426881,0.000200232,0.0002562374,0.0564477,0.001041769,0.9371576,0.004033684,0.00001424369],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8479584,0.001120305,0.05295299,0.002387004,0.0002499989,0.00005378978,0.00009048318,0.0001201397,0.09506688],"genre_scores_gemma":[0.9791789,0.0003846897,0.00573768,0.0001153652,0.0001490914,0.00002946427,0.00005994785,0.00002291432,0.01432201],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004459916,"threshold_uncertainty_score":0.01491994,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01063794948866549,"score_gpt":0.24650859478016,"score_spread":0.2358706452914945,"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."}}