{"OA_place":"repository","language":[{"iso":"eng"}],"day":"01","publication_identifier":{"issn":["1050-5164"]},"page":"196 - 250","article_type":"original","intvolume":"        35","author":[{"id":"d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c","last_name":"Pedrotti","first_name":"Francesco","full_name":"Pedrotti, Francesco"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","corr_author":"1","date_updated":"2025-07-22T09:24:08Z","department":[{"_id":"JaMa"}],"doi":"10.1214/24-aap2113","publication":"The Annals of Applied Probability","oa_version":"Preprint","publication_status":"published","_id":"20040","date_created":"2025-07-21T07:49:15Z","type":"journal_article","related_material":{"record":[{"id":"17351","status":"public","relation":"earlier_version"}]},"issue":"1","publisher":"Institute of Mathematical Statistics","volume":35,"citation":{"chicago":"Pedrotti, Francesco. “Contractive Coupling Rates and Curvature Lower Bounds for Markov Chains.” <i>The Annals of Applied Probability</i>. Institute of Mathematical Statistics, 2025. <a href=\"https://doi.org/10.1214/24-aap2113\">https://doi.org/10.1214/24-aap2113</a>.","ama":"Pedrotti F. Contractive coupling rates and curvature lower bounds for Markov chains. <i>The Annals of Applied Probability</i>. 2025;35(1):196-250. doi:<a href=\"https://doi.org/10.1214/24-aap2113\">10.1214/24-aap2113</a>","short":"F. Pedrotti, The Annals of Applied Probability 35 (2025) 196–250.","mla":"Pedrotti, Francesco. “Contractive Coupling Rates and Curvature Lower Bounds for Markov Chains.” <i>The Annals of Applied Probability</i>, vol. 35, no. 1, Institute of Mathematical Statistics, 2025, pp. 196–250, doi:<a href=\"https://doi.org/10.1214/24-aap2113\">10.1214/24-aap2113</a>.","apa":"Pedrotti, F. (2025). Contractive coupling rates and curvature lower bounds for Markov chains. <i>The Annals of Applied Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/24-aap2113\">https://doi.org/10.1214/24-aap2113</a>","ista":"Pedrotti F. 2025. Contractive coupling rates and curvature lower bounds for Markov chains. The Annals of Applied Probability. 35(1), 196–250.","ieee":"F. Pedrotti, “Contractive coupling rates and curvature lower bounds for Markov chains,” <i>The Annals of Applied Probability</i>, vol. 35, no. 1. Institute of Mathematical Statistics, pp. 196–250, 2025."},"year":"2025","status":"public","arxiv":1,"abstract":[{"text":"Contractive coupling rates have been recently introduced by Conforti as a tool to establish convex Sobolev inequalities (including modified log-Sobolev and Poincaré inequality) for some classes of Markov chains. In this work, for most of the examples discussed by Conforti, we use contractive coupling rates to prove stronger inequalities, in the form of curvature lower bounds (in entropic and discrete Bakry–Émery sense) and geodesic convexity of some entropic functionals. In addition, we recall and give straightforward generalizations of some notions of coarse Ricci curvature, and we discuss some of their properties and relations with the concepts of couplings and coupling rates: as an application, we show exponential contraction of the p-Wasserstein distance for the heat flow in the aforementioned examples.","lang":"eng"}],"project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics"},{"grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"title":"Contractive coupling rates and curvature lower bounds for Markov chains","external_id":{"arxiv":["2308.00516"]},"month":"02","date_published":"2025-02-01T00:00:00Z","ec_funded":1,"article_processing_charge":"No","acknowledgement":"The author warmly thanks Jan Maas for suggesting the project and for his guidance, and Melchior Wirth and Haonan Zhang for useful discussions. The author is also grateful to an anonymous reviewer for carefully reading the manuscript and providing many valuable suggestions. The author gratefully acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme\r\n(grant agreement No. 716117) and by the Austrian Science Fund (FWF), Project SFB F65.","OA_type":"green","scopus_import":"1"}