On the Topological Entropy of Saturated Sets for Amenable Group Actions

被引：0

作者：

Xiankun Ren

Xueting Tian

Yunhua Zhou

机构：

[1] Chongqing University,College of Mathematics and Statistics

[2] Fudan University,School of Mathematical Sciences

来源：

Journal of Dynamics and Differential Equations | 2023年 / 35卷

关键词：

Amenable group actions; Entropy; Saturated set; Specification; Uniform separation; 37B05; 37B40; 54H20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let (X, G) be a G-action topological system, where G is a countable infinite discrete amenable group and X a compact metric space. We prove a variational principle for topological entropy of saturated sets for systems which have the specification property and uniform separation property. We show that certain algebraic actions satisfy these two conditions. We give an application in multifractal analysis.

引用

页码：2873 / 2904

页数：31

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