Relative sequence entropy for amenable group actions

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-06-30 DOI:10.1016/j.jde.2025.113582

Chunlin Liu , Changlin Wang , Weisheng Wu

引用次数: 0

Abstract

We introduce the concept of relative sequence entropy for amenable group actions and explore the interplay between relative sequence entropy and Kronecker algebras for amenable group actions, and rigid algebras for abelian group actions. Our investigation extends to the application of relative sequence entropy in various mixing concepts within both measure-theoretic and topological systems. Additionally, we refine the notion of relative sequence entropy by introducing the concept of relative sequence entropy pairs for amenable group actions.

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可服从群动作的相对序列熵

引入了可服从群作用的相对序列熵的概念，探讨了可服从群作用的相对序列熵与Kronecker代数和阿贝尔群作用的刚性代数的相互作用。我们的研究扩展到相对序列熵在测量理论和拓扑系统中各种混合概念中的应用。此外，我们通过引入可服从群行为的相对序列熵对的概念，改进了相对序列熵的概念。

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

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics