Kolmogorov extension theorem for non-probability measures on Cayley trees

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Reviews in Mathematical Physics Pub Date : 2023-12-30 DOI:10.1142/s0129055x24500107

F. H. Haydarov

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 $σ$ -additive measure on Borel fields which has a fundamental role in the theory of Gibbs measures.

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Cayley 树上非概率度量的柯尔莫哥洛夫扩展定理

本文将讨论将 Cayley 树上的概率和非概率度量扩展到 Borel 场上的 σ-additive 度量的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Reviews in Mathematical Physics 物理-物理：数学物理

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

>12 weeks

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.