Measures of maximal entropy of bounded density shifts

IF 0.8 3区数学 Q2 MATHEMATICS

Ergodic Theory and Dynamical Systems Pub Date : 2024-02-20 DOI:10.1017/etds.2024.6

FELIPE GARCÍA-RAMOS, RONNIE PAVLOV, CARLOS REYES

引用次数: 0

Abstract

We find sufficient conditions for bounded density shifts to have a unique measure of maximal entropy. We also prove that every measure of maximal entropy of a bounded density shift is fully supported. As a consequence of this, we obtain that bounded density shifts are surjunctive.

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有界密度移动的最大熵的度量

我们找到了有界密度移动具有唯一最大熵量的充分条件。我们还证明，有界密度移动的每个最大熵量都是完全支持的。由此，我们得出有界密度移动是附加的。

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.