{"id":"W4327989000","doi":"10.1007/s00220-023-04680-2","title":"The Toda Flow as a Porous Medium Equation","year":2023,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Toda lattice; Integrable system; Mathematics; Invariant (physics); Hamiltonian system; Flow (mathematics); Inertia; Pure mathematics; Bracket; Mathematical analysis; Mathematical physics; Classical mechanics; 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":[0.0005952644,0.0004175245,0.000941372,0.001186738,0.001074286,0.002322045,0.0008222316,0.0015511,0.003743519],"category_scores_gemma":[0.001928432,0.0003235932,0.0007397739,0.0007842798,0.002009416,0.002656102,0.001776234,0.001825594,0.0004429593],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001350299,"about_ca_system_score_gemma":0.001541936,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00318862,"about_ca_topic_score_gemma":0.001898645,"domain_scores_codex":[0.9997814,0.00006867151,0.00001255791,0.00003150767,0.0000797276,0.00002617629],"domain_scores_gemma":[0.9994683,0.0001735563,0.00007021012,0.00004324357,0.0001199149,0.0001249147],"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":[0.00001520911,0.00001204621,0.0001725779,0.00002845081,0.00001024798,0.00008232616,0.0000542644,0.006686754,0.0007911467,0.9892907,0.001366827,0.001489454],"study_design_scores_gemma":[0.00004439006,0.00001834715,0.0003938574,0.00002606229,0.0000146507,0.0002360073,0.00006000753,0.1290097,0.0003167411,0.8637264,0.006125954,0.00002795855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2727276,0.006561439,0.463158,0.01804044,0.00277143,0.0002169311,0.00133172,0.0004153339,0.234777],"genre_scores_gemma":[0.8590796,0.003871026,0.05509086,0.0014993,0.001234379,0.0001733764,0.0005463201,0.0001665917,0.07833859],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003743519,"threshold_uncertainty_score":0.01252335,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06308317415358966,"score_gpt":0.3527143975767221,"score_spread":0.2896312234231325,"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."}}