{"title":"Concentration of Markov chains indexed by trees","authors":"Christopher Shriver","doi":"10.1214/21-aihp1224","DOIUrl":null,"url":null,"abstract":"An inequality of Marton [Mar96] shows that the joint distribution of a Markov chain with uniformly contracting transition kernels exhibits concentration. We generalize this inequality to Markov chains indexed by trees.","PeriodicalId":42884,"journal":{"name":"Annales de l Institut Henri Poincare D","volume":"18 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales de l Institut Henri Poincare D","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1214/21-aihp1224","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
An inequality of Marton [Mar96] shows that the joint distribution of a Markov chain with uniformly contracting transition kernels exhibits concentration. We generalize this inequality to Markov chains indexed by trees.
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