REMARK ON THE LOCAL NATURE OF METRIC MEAN DIMENSION

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2021-03-08 DOI:10.2206/kyushujm.76.143

M. Tsukamoto

引用次数: 2

Abstract

Metric mean dimension is a metric invariant of dynamical systems. It is a dynamical analogue of Minkowski dimension of metric spaces. We explain that old ideas of Bowen (1972) can be used for clarifying the local nature of metric mean dimension. We also explain the generalization to R-actions and an illustrating example.

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论度量平均维数的局域性

度量平均维数是动力系统的度量不变量。它是度量空间的Minkowski维数的动力学模拟。我们解释了Bowen（1972）的旧思想可以用来澄清度量平均维数的局部性质。我们还解释了对R-动作的推广，并举例说明。

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

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.