Measure-theoretic sequence entropy pairs and mean sensitivity

IF 0.8 3区数学 Q2 MATHEMATICS

Ergodic Theory and Dynamical Systems Pub Date : 2023-09-19 DOI:10.1017/etds.2023.65

FELIPE GARCÍA-RAMOS, VÍCTOR MUÑOZ-LÓPEZ

引用次数: 1

Abstract

Abstract We characterize measure-theoretic sequence entropy pairs of continuous actions of abelian groups using mean sensitivity. This addresses an open question of Li and Yu [On mean sensitive tuples. J. Differential Equations 297 (2021), 175–200]. As a consequence of our results, we provide a simpler characterization of Kerr and Li’s independence sequence entropy pairs ( $\mu $ -IN-pairs) when the measure is ergodic and the group is abelian.

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测度论序列熵对和均值灵敏度

摘要利用平均灵敏度对连续作用的测度论序列熵对进行了刻画。这解决了Li和Yu[关于平均敏感元组]的一个开放问题。[j].中国科学:地球科学，2014，(2):444 - 444。由于我们的结果，我们提供了一个更简单的表征Kerr和Li的独立序列熵对($\mu $ -IN-pairs)，当测量是遍历的，群是阿贝尔的。

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

Ergodic Theory and Dynamical Systems 数学-数学

CiteScore

1.70

自引率

11.10%

发文量

113

审稿时长

6-12 weeks

期刊介绍： Ergodic Theory and Dynamical Systems focuses on a rich variety of research areas which, although diverse, employ as common themes global dynamical methods. The journal provides a focus for this important and flourishing area of mathematics and brings together many major contributions in the field. The journal acts as a forum for central problems of dynamical systems and of interactions of dynamical systems with areas such as differential geometry, number theory, operator algebras, celestial and statistical mechanics, and biology.