具有势的度量平均维数的变分原理

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Journal of Difference Equations and Applications Pub Date : 2023-06-03 DOI:10.1080/10236198.2023.2242518

Yunping Wang, Qianhui He

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引用次数: 0

摘要

本文研究了带势的度量平均维数，并建立了它的变分原理，将速率失真函数与带势的度量平均维数联系起来。此外，我们给出了带势度量平均维数的替代定义，并证明了带势的经典度量平均维数等于带势的鲍文上下容量度量平均维数。

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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Variational principle for metric mean dimension with potential

In this paper, we study metric mean dimension with potential and set up a variational principle for it, which connects rate distortion function to metric mean dimension with potential. Moreover, we give alternative definitions of metric mean dimensions with potential and show that classic metric mean dimension with potential is equal to Bowen upper and lower capacity metric mean dimensions with potential.

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来源期刊

Journal of Difference Equations and Applications 数学-应用数学

CiteScore

2.10

自引率

9.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Journal of Difference Equations and Applications presents state-of-the-art papers on difference equations and discrete dynamical systems and the academic, pure and applied problems in which they arise. The Journal is composed of original research, expository and review articles, and papers that present novel concepts in application and techniques. The scope of the Journal includes all areas in mathematics that contain significant theory or applications in difference equations or discrete dynamical systems.