New Variational Principles of Topological Pressures

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-04 DOI:10.1007/s12346-024-01072-2

Xingfu Zhong, Zhijing Chen

引用次数: 0

Abstract

We introduce three types of topological pressures and measure-theoretic pressures, present three variational principles between these measure-theoretic pressures and the corresponding topological pressures, and show that the upper capacity topological pressure of the whole space is determined by the Pesin–Pitskel topological pressure of dynamical balls under some suitable assumptions. Moreover, we show that these measure-theoretic pressures are equivalent for nonsingular measures.

Abstract Image

查看原文本刊更多论文

拓扑压力的新变量原理

我们介绍了三种拓扑压力和度量论压力，提出了这些度量论压力与相应拓扑压力之间的三个变分原理，并证明了在一些合适的假设条件下，整个空间的上容量拓扑压力由动态球的 Pesin-Pitskel 拓扑压力决定。此外，我们还证明了这些度量理论压力对于非星度量是等价的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.