{"id":"W1767588846","doi":"10.1090/conm/469/09160","title":"Dynamical determinants and spectrum for hyperbolic diffeomorphisms","year":2008,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Rehabilitation Institute","funders":"Japan Society for the Promotion of Science; Institut Henri Poincaré","keywords":"Mathematics; Transfer operator; Dynamical systems theory; Spectrum (functional analysis); Eigenvalues and eigenvectors; Operator (biology); Essential spectrum; Spectral radius; Pure mathematics; Mathematical analysis; Dynamical system (definition); Bijection; Fredholm operator; Transfer (computing); Discrete mathematics; Compact operator; Physics","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":[0.0006066513,0.0003351258,0.0003402352,0.001576211,0.0005573794,0.00147762,0.0004731579,0.0005093237,0.002766324],"category_scores_gemma":[0.003069606,0.0001814207,0.0003009174,0.0003002016,0.00224157,0.001717222,0.001380704,0.0008492295,0.0002720145],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000966072,"about_ca_system_score_gemma":0.0002579479,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005574466,"about_ca_topic_score_gemma":0.0002794311,"domain_scores_codex":[0.9997081,0.00005887105,0.00001175743,0.00005008214,0.0001271963,0.00004394578],"domain_scores_gemma":[0.9989129,0.0003620647,0.0001747606,0.0001198416,0.000210265,0.0002201074],"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":[0.000009618645,0.00001107623,0.0003975591,0.000009953992,0.000002996365,0.00005969303,0.0001282854,0.001654763,0.001659665,0.9940121,0.0002354564,0.00181894],"study_design_scores_gemma":[0.00001082209,0.00001828662,0.001464142,0.00001050769,0.00000400451,0.0002046355,0.00009538869,0.04216723,0.001427785,0.9530542,0.001530342,0.0000126964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8495796,0.000594834,0.08909452,0.0008074145,0.0001116207,0.00002783862,0.00005293442,0.0001245169,0.05960677],"genre_scores_gemma":[0.9939827,0.0001019733,0.002093553,0.00003743955,0.00003645529,0.000008776815,0.00001759198,0.00001504027,0.003706368],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002766324,"threshold_uncertainty_score":0.009254217,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04460460275208177,"score_gpt":0.3037299446924237,"score_spread":0.2591253419403419,"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."}}