{"id":"W3104396999","doi":"","title":"Lie Point Symmetries and Commuting Flows for Equations on Lattices","year":2008,"lang":"en","type":"article","venue":"","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Homogeneous space; Integrable system; Rotation formalisms in three dimensions; Toda lattice; Symmetry (geometry); Mathematics; Nonlinear system; Mathematical physics; Lie group; Point (geometry); Lattice (music); Symmetry group; Pure mathematics; Mathematical analysis; Physics; Quantum mechanics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0000541271,0.00005703941,0.00007843452,0.00002512657,0.0002768738,0.00002468715,0.00003606225,0.00001155234,0.00007950728],"category_scores_gemma":[0.00001616263,0.00004600918,0.00003870074,0.00004201393,0.00002524159,0.00005160597,0.00002073917,0.00004373928,0.00001450378],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000003045595,"about_ca_system_score_gemma":0.00001423819,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000885047,"about_ca_topic_score_gemma":0.000007736543,"domain_scores_codex":[0.9996719,0.000008120049,0.00008873471,0.00008208069,0.000039687,0.0001094644],"domain_scores_gemma":[0.9994968,0.0003233312,0.00002413329,0.00008809267,0.00003132853,0.00003628278],"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":[0.00001421532,0.0001977732,0.01210856,0.00001420792,0.00007998654,5.207847e-7,0.001092096,0.00008877127,0.0001563838,0.9695377,0.002505393,0.01420441],"study_design_scores_gemma":[0.008390516,0.001726868,0.02674071,0.0002300834,0.0002874589,0.000009132622,0.01905968,0.3752698,0.02603313,0.2683977,0.271404,0.002450988],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.898425,0.0000433265,0.03921637,0.001524124,0.00009033599,0.0002558691,0.00008708312,0.00003660701,0.06032125],"genre_scores_gemma":[0.9901634,0.000002091995,0.007670468,0.0001421438,0.0002205982,0.000008503011,0.00002724729,0.000006728518,0.001758789],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.70114,"threshold_uncertainty_score":0.2129517,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04063257782614381,"score_gpt":0.2883872018052247,"score_spread":0.2477546239790809,"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."}}