Discrete spectrum for group actions

被引：0

作者：

Xu, Fang ^{[1
]}

Xu, Leiye ^{[2
]}

机构：

[1] Anhui Agr Univ, Coll Econ & Technol, Hefei, Peoples R China

[2] Univ Sci & Technol China, Dept Math, Hefei, Peoples R China

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2023年 / 39卷 / 01期

关键词：

Group actions; discrete spectrum; bounded complexity; DYNAMICS;

D O I：

10.1080/14689367.2023.2236946

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study discrete spectrum of invariant measures for group actions. We show that an invariant measure has discrete spectrum if and only if it has finite max-mean-measure-complexity. As an application, we show that for countable discrete amenable group actions an invariant measure has discrete spectrum if and only if it has bounded mean-measure-complexity along any Folner sequence.

引用

页码：141 / 149

页数：9

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