自由半群作用的相关熵

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2024-10-08 DOI:10.1007/s10955-024-03348-y

Xiaojiang Ye, Yanjie Tang, Dongkui Ma

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引用次数: 0

摘要

本文介绍了紧凑公元空间上自由半群作用的相关熵和局部相关熵的概念，并研究了它们的基本性质。之后，我们将关于相关熵和局部相关熵的某些经典发现扩展到自由半群作用的领域。最后，我们建立了自由半群作用在不同条件下的拓扑熵、度量理论熵、相关熵和局部相关熵之间的相互联系。

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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Correlation Entropy of Free Semigroup Actions

This paper introduces the concepts of correlation entropy and local correlation entropy for free semigroup actions on compact metric space, and investigates their underlying properties. Thereafter, we extend certain classical findings on correlation entropy and local correlation entropy to the realm of free semigroup actions. Finally, we establish the interconnections between topological entropy, measure-theoretic entropy, correlation entropy, and local correlation entropy for free semigroup actions under different conditions.

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来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.