{"id":"W2919958094","doi":"10.1214/20-aap1646","title":"Entropy dissipation estimates for inhomogeneous zero-range processes","year":2021,"lang":"en","type":"preprint","venue":"The Annals of Applied Probability","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Engineering and Physical Sciences Research Council; Agence Nationale de la Recherche","keywords":"Mathematics; Martingale (probability theory); Sobolev space; Entropy (arrow of time); Statistical physics; Sobolev inequality; Pure mathematics; Dissipation; Applied mathematics; Physics; Quantum mechanics","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":[0.001806407,0.0006024658,0.0006227707,0.001569161,0.0004159698,0.001060481,0.0008620314,0.0004760056,0.001557352],"category_scores_gemma":[0.005884161,0.0002791167,0.0006789594,0.0004296305,0.002016489,0.002189605,0.001927292,0.001477732,0.0001738502],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001089382,"about_ca_system_score_gemma":0.0004043683,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009531866,"about_ca_topic_score_gemma":0.000604423,"domain_scores_codex":[0.9995719,0.0001611985,0.0000193927,0.000071453,0.0001146703,0.00006147397],"domain_scores_gemma":[0.9971004,0.001688677,0.0004716558,0.0002366753,0.000243241,0.0002593161],"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":[0.00004214918,0.00001722695,0.001614959,0.0000884383,0.00003163099,0.0001052842,0.0001960485,0.03664548,0.003669714,0.9520641,0.000815256,0.004709619],"study_design_scores_gemma":[0.000008891956,0.00002775853,0.001868287,0.00002543305,0.0000160731,0.00004777035,0.00003166178,0.3941997,0.001442501,0.6006197,0.00169001,0.00002227174],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2700799,0.003669005,0.7034591,0.001689481,0.0001681808,0.0000482658,0.0001568373,0.0001145168,0.02061481],"genre_scores_gemma":[0.9726008,0.001331576,0.01690228,0.0002255067,0.0002438309,0.00007443596,0.0001386093,0.00007633127,0.008406708],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001806407,"threshold_uncertainty_score":0.009553313,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1998915702022286,"score_gpt":0.4016960360912233,"score_spread":0.2018044658889947,"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."}}