可处理随机度量均值维数的变分原理

IF 0.7 3区数学 Q2 MATHEMATICS

Proceedings of the Edinburgh Mathematical Society Pub Date : 2024-05-16 DOI:10.1017/s0013091524000257

Dingxuan Tang, Zhiming Li

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引用次数: 0

摘要

在随机可亲群作用的背景下，我们引入了具有势的随机上度量均值维度和随机上度量理论度量均值维度的概念。此外，我们还建立了随机上度量均值维的变分原理。最后，我们研究了随机上公制均值维的均衡状态。

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A variational principle of amenable random metric mean dimensions

In the context of random amenable group actions, we introduce the notions of random upper metric mean dimension with potentials and the random upper measure-theoretical metric mean dimension. Besides, we establish a variational principle for the random upper metric mean dimensions. At the end, we study the equilibrium state for random upper metric mean dimensions.

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来源期刊

Proceedings of the Edinburgh Mathematical Society 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Edinburgh Mathematical Society was founded in 1883 and over the years, has evolved into the principal society for the promotion of mathematics research in Scotland. The Society has published its Proceedings since 1884. This journal contains research papers on topics in a broad range of pure and applied mathematics, together with a number of topical book reviews.