{"title":"Asymptotics of the Number of Endpoints of a Random Walk on a Certain Class of Directed Metric Graphs","authors":"V. L. Chernyshev, A. A. Tolchennikov","doi":"10.1134/S1061920821040038","DOIUrl":null,"url":null,"abstract":"<p> A certain class of directed metric graphs is considered. The asymptotics for a number of possible endpoints of a random walk at large times is found. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"28 4","pages":"434 - 438"},"PeriodicalIF":1.7000,"publicationDate":"2021-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Journal of Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1061920821040038","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 2
Abstract
A certain class of directed metric graphs is considered. The asymptotics for a number of possible endpoints of a random walk at large times is found.
期刊介绍:
Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.