{"id":"W4322810950","doi":"10.48550/arxiv.2302.14839","title":"Asymptotic behavior of the pressure function for Hölder potentials","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Asymptote; Convexity; Upper and lower bounds; Exponential function; Mathematics; Function (biology); Regular polygon; Convex function; Mathematical analysis; Rate function; Geometry; Large deviations theory; Statistics","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":[],"consensus_categories":[],"category_scores_codex":[0.0003663894,0.0002433486,0.0004530175,0.00009915766,0.0001104522,0.00002854823,0.0005962563,0.0003650092,0.0001106799],"category_scores_gemma":[0.000322719,0.0002009025,0.0005284684,0.0002033883,0.0001033348,0.00005408605,0.0006869186,0.0003082987,0.00001701372],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003960732,"about_ca_system_score_gemma":0.00006943165,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002741476,"about_ca_topic_score_gemma":0.00002700654,"domain_scores_codex":[0.998746,0.00008194446,0.0003367941,0.0004780634,0.0001203375,0.0002368201],"domain_scores_gemma":[0.997801,0.0004790261,0.0004984598,0.0009388899,0.0002172242,0.00006540394],"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":[0.00006872775,0.0004538277,0.001418016,0.002601299,0.000573514,0.0000108818,0.0001185593,0.01062079,0.0003317846,0.9814413,0.002253356,0.0001079441],"study_design_scores_gemma":[0.0003750557,0.00004228356,0.001831651,0.0002510461,0.002214734,9.74083e-7,0.00007338033,0.1001464,0.0001032897,0.89452,0.0001894841,0.0002517545],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.553101,0.00002821612,0.4409159,0.0001293712,0.001397758,0.002708985,0.0004472717,0.0001960321,0.001075446],"genre_scores_gemma":[0.9807173,0.00001262549,0.0006017191,0.00001365956,0.0000634375,0.00001242777,0.00001999032,0.00005336278,0.01850547],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4403142,"threshold_uncertainty_score":0.8192568,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1684206513422712,"score_gpt":0.238195288589587,"score_spread":0.06977463724731581,"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."}}