随机介质中Z上随机游动的递归性

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-01 DOI:10.1016/S0764-4442(01)02173-5

Julien Bremont

{"title":"随机介质中Z上随机游动的递归性","authors":"Julien Bremont","doi":"10.1016/S0764-4442(01)02173-5","DOIUrl":null,"url":null,"abstract":"<div><p>We study random walks on <span><math><mtext>Z</mtext></math></span> in a stationary random medium, defined by an ergodic dynamical system, when the possible jumps are {0,±1,±2}. We give a simple proof of a recurrence criterion of the same kind as Key's [6]. We show that the intermediate Lyapunov exponent involved in the criterion is always simple.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 11","pages":"Pages 1011-1016"},"PeriodicalIF":0.0000,"publicationDate":"2001-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02173-5","citationCount":"4","resultStr":"{\"title\":\"On the recurrence of random walks on Z in random medium\",\"authors\":\"Julien Bremont\",\"doi\":\"10.1016/S0764-4442(01)02173-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study random walks on <span><math><mtext>Z</mtext></math></span> in a stationary random medium, defined by an ergodic dynamical system, when the possible jumps are {0,±1,±2}. We give a simple proof of a recurrence criterion of the same kind as Key's [6]. We show that the intermediate Lyapunov exponent involved in the criterion is always simple.</p></div>\",\"PeriodicalId\":100300,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"volume\":\"333 11\",\"pages\":\"Pages 1011-1016\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02173-5\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0764444201021735\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021735","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 4

摘要

我们研究了一个由遍历动力系统定义的平稳随机介质中Z上的随机行走，当可能的跳跃为{0，±1，±2}时。我们给出了一个与Key[6]相同类型的递归准则的简单证明。我们证明了准则中涉及的中间Lyapunov指数总是简单的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On the recurrence of random walks on Z in random medium

We study random walks on $Z$ in a stationary random medium, defined by an ergodic dynamical system, when the possible jumps are {0,±1,±2}. We give a simple proof of a recurrence criterion of the same kind as Key's [6]. We show that the intermediate Lyapunov exponent involved in the criterion is always simple.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

自引率

0.00%

发文量