On Variational Principles of Metric Mean Dimension on Subsets in Feldman–Katok Metric

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2024-07-10 DOI:10.1007/s10114-024-2517-3

Kun Mei Gao, Rui Feng Zhang

引用次数: 0

Abstract

In this paper, we studied the metric mean dimension in Feldman–Katok (FK for short) metric. We introduced the notions of FK-Bowen metric mean dimension and FK-Packing metric mean dimension on subsets. And we established two variational principles.

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论费尔德曼-卡托克公设子集上公设平均维度的变分原理

本文研究了 Feldman-Katok（简称 FK）度量中的度量平均维度。我们引入了子集上的 FK-Bowen 公制均值维度和 FK-Packing 公制均值维度的概念。并建立了两个变分原理。

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

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.