通过不稳定拓扑压力计算双曲动力学的箱维上限

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-08 DOI:10.1016/j.na.2024.113560

Congcong Qu

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引用次数: 0

摘要

在本文中，我们利用亚加性不稳定拓扑压力给出了局部不稳定流形上 C1 双曲集的上盒维的上限。作为副产品，我们给出了符号空间拓扑压力的新表达式。这项工作受到 Barreira (1996)、Feng 和 Simon (2023) 以及 Zhang 等人 (2022) 的启发。

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An upper bound for the box dimension of the hyperbolic dynamics via unstable topological pressure

In this paper, we utilize the sub-additive unstable topological pressure to give an upper bound for the upper box dimension of the $C^{1}$ hyperbolic set on local unstable manifold. As a by-product, we give a new expression of the topological pressure on symbolic spaces. This work is inspired by Barreira (1996), Feng and Simon (2023) and Zhang et al. (2022).

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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.