{"title":"Stability of probability of return on locally compact groups under quasi-isometry","authors":"Barmaki Mohammed, Ftouhi Mostafa, D. Gretete","doi":"10.52846/ami.v48i1.1327","DOIUrl":null,"url":null,"abstract":"The aim of this article is to demonstrate the invariance of the probability of return to the origin on the locally compact groups by quasi isometries. This is a generalization of a theorem of Ch. Pittet and L.Salof-Coste who established this invariance in the case of discrete groups finitely generated.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":"12 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of the University of Craiova-Mathematics and Computer Science Series","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52846/ami.v48i1.1327","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The aim of this article is to demonstrate the invariance of the probability of return to the origin on the locally compact groups by quasi isometries. This is a generalization of a theorem of Ch. Pittet and L.Salof-Coste who established this invariance in the case of discrete groups finitely generated.