{"title":"零度下的加权平衡态","authors":"A. Mesón, F. Vericat","doi":"10.1080/1726037X.2020.1856340","DOIUrl":null,"url":null,"abstract":"Abstract Weighted thermodynamic and multifractal formalism for finite alphabet subshifts have been presented by Barral and Feng (Asian J. Math, 16, 319–352, 2012). Here we analyze the problem of finding weighted equilibrium states for infinite countable shifts. Also we study the problem of ”zero temperature” which consists into consider a sequence of equilibrium states depending of a parameter, interpreted in a Statistical Mechanics context as ”the inverse of the temperature”, and prove the existence of accumulation points of such a sequence.","PeriodicalId":42788,"journal":{"name":"Journal of Dynamical Systems and Geometric Theories","volume":"18 1","pages":"241 - 259"},"PeriodicalIF":0.4000,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/1726037X.2020.1856340","citationCount":"0","resultStr":"{\"title\":\"Weighted Equilibrium States at Zero Temperature\",\"authors\":\"A. Mesón, F. Vericat\",\"doi\":\"10.1080/1726037X.2020.1856340\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Weighted thermodynamic and multifractal formalism for finite alphabet subshifts have been presented by Barral and Feng (Asian J. Math, 16, 319–352, 2012). Here we analyze the problem of finding weighted equilibrium states for infinite countable shifts. Also we study the problem of ”zero temperature” which consists into consider a sequence of equilibrium states depending of a parameter, interpreted in a Statistical Mechanics context as ”the inverse of the temperature”, and prove the existence of accumulation points of such a sequence.\",\"PeriodicalId\":42788,\"journal\":{\"name\":\"Journal of Dynamical Systems and Geometric Theories\",\"volume\":\"18 1\",\"pages\":\"241 - 259\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2020-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/1726037X.2020.1856340\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Dynamical Systems and Geometric Theories\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/1726037X.2020.1856340\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Dynamical Systems and Geometric Theories","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/1726037X.2020.1856340","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Abstract Weighted thermodynamic and multifractal formalism for finite alphabet subshifts have been presented by Barral and Feng (Asian J. Math, 16, 319–352, 2012). Here we analyze the problem of finding weighted equilibrium states for infinite countable shifts. Also we study the problem of ”zero temperature” which consists into consider a sequence of equilibrium states depending of a parameter, interpreted in a Statistical Mechanics context as ”the inverse of the temperature”, and prove the existence of accumulation points of such a sequence.
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