{"title":"拟等距条件下局部紧群回归概率的稳定性","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":"{\"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}","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}
Stability of probability of return on locally compact groups under quasi-isometry
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.
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