{"id":"W3199743147","doi":"10.1137/20m1381319","title":"Generalized Maslov Indices for Non-Hamiltonian Systems","year":2022,"lang":"en","type":"article","venue":"SIAM Journal on Mathematical Analysis","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Office of Naval Research; Natural Sciences and Engineering Research Council of Canada; Australian Respiratory Council","keywords":"Mathematics; Grassmannian; Codimension; Hamiltonian system; Pure mathematics; Hyperplane; Submanifold; Eigenvalues and eigenvectors; Mathematical analysis; Combinatorics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009040319,0.0002178691,0.000746949,0.0003151131,0.0006704938,0.0002326025,0.0003566561,0.00003373339,0.002889018],"category_scores_gemma":[0.00001338586,0.0001591239,0.0009327886,0.0006812927,0.00003010597,0.0000714788,0.00007332765,0.000356158,0.00006442441],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008345064,"about_ca_system_score_gemma":0.00003881408,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003733642,"about_ca_topic_score_gemma":9.97633e-7,"domain_scores_codex":[0.9978153,0.0001815983,0.0007341505,0.0002632893,0.0006084308,0.0003971956],"domain_scores_gemma":[0.9987032,0.000258284,0.0004367357,0.000267392,0.00007519648,0.0002591524],"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":[0.0002372461,0.00196758,0.01144304,0.0002560396,0.00982754,0.00004477551,0.001093727,0.1190249,0.0006586136,0.8490331,0.003978869,0.002434567],"study_design_scores_gemma":[0.00172196,0.0004953072,0.0004336615,0.00005928117,0.002162769,0.00002884244,0.002315815,0.8337207,0.00003297033,0.1470832,0.01135063,0.0005948663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6781,0.00008233223,0.3146873,0.0006290725,0.0004097952,0.0005339305,0.0002389089,0.00003342789,0.005285162],"genre_scores_gemma":[0.9955505,0.000001399016,0.001220881,0.00007177152,0.0005385724,0.0001667222,0.00004727803,0.00002619376,0.002376733],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7146958,"threshold_uncertainty_score":0.9980225,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01232921616062467,"score_gpt":0.2654080676378901,"score_spread":0.2530788514772654,"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."}}