{"id":"W2981627550","doi":"10.1088/1361-6544/abb5de","title":"Asymptotics for the second-largest Lyapunov exponent for some Perron–Frobenius operator cocycles","year":2021,"lang":"en","type":"preprint","venue":"Nonlinearity","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lyapunov exponent; Lambda; Bounded function; Upper and lower bounds; Banach space; Transfer operator; Dynamical systems theory; Exponent; Pure mathematics; Discrete mathematics; Mathematical analysis; Chaotic","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001371761,0.0005930479,0.0005459946,0.001209601,0.0005543795,0.001075675,0.0007094662,0.0007461943,0.002443752],"category_scores_gemma":[0.008830061,0.0002768153,0.0004432212,0.0002758729,0.001757487,0.001927549,0.001126428,0.001178435,0.0001771453],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001204414,"about_ca_system_score_gemma":0.0005348226,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001035373,"about_ca_topic_score_gemma":0.0004781865,"domain_scores_codex":[0.9996953,0.00007686888,0.00001414723,0.00006670324,0.00008197608,0.00006496986],"domain_scores_gemma":[0.9965438,0.001670743,0.0005743256,0.000206962,0.0004731391,0.0005308691],"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":[0.000223074,0.0001203647,0.007884715,0.0001981671,0.00008423461,0.0007954926,0.0006550005,0.1041647,0.06269246,0.8122131,0.001137341,0.009831367],"study_design_scores_gemma":[0.0000140691,0.0001079331,0.002872021,0.00003983401,0.00001003481,0.000141821,0.0001272001,0.8865647,0.004902036,0.1043981,0.0007809354,0.00004134042],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7925584,0.0004326679,0.1982866,0.0004727881,0.00006142419,0.0000343064,0.00006721731,0.0001698071,0.007916718],"genre_scores_gemma":[0.9933919,0.00008807386,0.005152649,0.00002860171,0.0000227058,0.00004077699,0.00002949483,0.00002657639,0.001219147],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002443752,"threshold_uncertainty_score":0.008738697,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08890961531971925,"score_gpt":0.3580960661768485,"score_spread":0.2691864508571292,"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."}}