{"title":"Moment Asymptotics of Population Size of Particles at Vertices for a Supercritical Branching Random Walk on a Periodic Graph","authors":"M. V. Platonova, K. S. Ryadovkin","doi":"10.1137/s0040585x97t991386","DOIUrl":null,"url":null,"abstract":"We consider a continuous-time supercritical symmetric branching random walk on a multidimensional graph with periodic particle generation sources. A logarithmic asymptotic formula is obtained for the moments of population sizes of particles at each vertex of the graph as ${t\\to\\infty}$.","PeriodicalId":51193,"journal":{"name":"Theory of Probability and its Applications","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theory of Probability and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1137/s0040585x97t991386","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
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Abstract
We consider a continuous-time supercritical symmetric branching random walk on a multidimensional graph with periodic particle generation sources. A logarithmic asymptotic formula is obtained for the moments of population sizes of particles at each vertex of the graph as ${t\to\infty}$.
期刊介绍：
Theory of Probability and Its Applications (TVP) accepts original articles and communications on the theory of probability, general problems of mathematical statistics, and applications of the theory of probability to natural science and technology. Articles of the latter type will be accepted only if the mathematical methods applied are essentially new.
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