{"title":"Dynamical random walk on the integers with a drift","authors":"Dmitry Dolgopyat, D. Karagulyan","doi":"10.1214/22-aihp1300","DOIUrl":null,"url":null,"abstract":". We consider a particle which performs a dynamical random walk on Z and whose local dynamics is given by expanding maps. We provide sufficient conditions for the position of the particle z n to satisfy the Central Limit Theorem.","PeriodicalId":42884,"journal":{"name":"Annales de l Institut Henri Poincare D","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2023-08-01","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/10.1214/22-aihp1300","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
. We consider a particle which performs a dynamical random walk on Z and whose local dynamics is given by expanding maps. We provide sufficient conditions for the position of the particle z n to satisfy the Central Limit Theorem.