{"title":"Kolmogorov extension theorem for non-probability measures on Cayley trees","authors":"F. H. Haydarov","doi":"10.1142/s0129055x24500107","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we shall discuss the extendability of probability and non-probability measures on Cayley trees to a <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi>σ</mi></math></span><span></span>-additive measure on Borel fields which has a fundamental role in the theory of Gibbs measures.</p>","PeriodicalId":54483,"journal":{"name":"Reviews in Mathematical Physics","volume":"7 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2023-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Reviews in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0129055x24500107","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: 0
Abstract
In this paper, we shall discuss the extendability of probability and non-probability measures on Cayley trees to a -additive measure on Borel fields which has a fundamental role in the theory of Gibbs measures.
期刊介绍：
Reviews in Mathematical Physics fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers - introductory and survey papers - are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics. Original research papers are not subject to page limitations provided they are of importance to this readership. It is desirable that such papers have an expository part understandable to a wider readership than experts. Papers with the character of a scientific letter are usually not suitable for RMP.
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