{"title":"Conditions for the existence of a regular sequence of finite subgraphs of an infinite loaded linear graph","authors":"B. Gurevich","doi":"10.1090/mosc/319","DOIUrl":null,"url":null,"abstract":"We formulate a new condition, weaker than any already known, for the existence of a sequence of finite subgraphs of an infinite loaded linear graph along which the sequence of equilibrium measures converges to the equilibrium measure of the original infinite graph.","PeriodicalId":37924,"journal":{"name":"Transactions of the Moscow Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of the Moscow Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/mosc/319","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
We formulate a new condition, weaker than any already known, for the existence of a sequence of finite subgraphs of an infinite loaded linear graph along which the sequence of equilibrium measures converges to the equilibrium measure of the original infinite graph.
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