{"id":"W4298334514","doi":"10.48550/arxiv.1402.0090","title":"The martingale approach after Varadhan and Dolgopyat","year":2014,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Martingale (probability theory); Mathematics; Local martingale; Mathematical economics; Dynamical systems theory; Martingale pricing; Simple (philosophy); Calculus (dental); Applied mathematics; Pure mathematics; Epistemology; Philosophy; Physics","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":[0.0002531948,0.0002251879,0.0002369191,0.00005389185,0.0001900233,0.0001081548,0.000312106,0.0002043552,0.00003832364],"category_scores_gemma":[0.0000685671,0.0002090877,0.0001351777,0.0001014433,0.0001898972,0.00006598121,0.0002875733,0.0004317712,0.00002052438],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008540801,"about_ca_system_score_gemma":0.00002806851,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003560402,"about_ca_topic_score_gemma":0.0001041732,"domain_scores_codex":[0.9989949,0.0001005832,0.0001640188,0.000429486,0.00005587276,0.0002551679],"domain_scores_gemma":[0.9989151,0.0002105533,0.00004710193,0.0006494611,0.00005042685,0.0001272957],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002955107,0.00019522,0.01843979,0.001373765,0.0007618325,0.00001711055,0.001242415,0.9173759,0.00009353238,0.05097561,0.0004952942,0.008733963],"study_design_scores_gemma":[0.0003869988,0.00001795719,0.01122692,0.00002767762,0.0001489027,8.868021e-7,0.000131402,0.951936,0.00001745731,0.03469433,0.001067874,0.0003435812],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8715971,0.0003146835,0.1224893,0.00008656413,0.000352445,0.0003564928,0.00002098136,0.0002424173,0.004539932],"genre_scores_gemma":[0.9992896,0.0001169377,0.000114826,0.00002161576,0.00008723406,0.000006216957,0.0000107331,0.00002057659,0.0003322465],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1276925,"threshold_uncertainty_score":0.8526349,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02958454392759685,"score_gpt":0.1457120730043038,"score_spread":0.116127529076707,"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."}}