非自主迭代函数系统的熵

IF 1.1 3区数学 Q1 MATHEMATICS

Results in Mathematics Pub Date : 2024-07-18 DOI:10.1007/s00025-024-02233-0

Yujun Ju, Huoxia Liu, Qigui Yang

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引用次数: 0

摘要

本文旨在研究 Ghane 和 Sarkooh 提出的非自治迭代函数系统（NAIFS）的拓扑熵。本文建立了带有 NAIFS 因子映射的两个拓扑熵的不等式。我们对阿布拉莫夫-罗克林公式的拓扑类比进行了扩展，以求得斜积变换的熵。最后，我们得到了关于 NAIFS 的度量理论熵和拓扑熵的部分变分原理。

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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Entropy of Non-autonomous Iterated Function Systems

The aim of this paper is to investigate the topological entropy for non-autonomous iterated function systems (NAIFSs) introduced by Ghane and Sarkooh. An inequality formula for two topological entropies with a factor map of NAIFSs is established. We extend the topological analogue of the Abramov–Rokhlin formula for the entropy of a skew product transformation. Finally, the partial variational principle is obtained about the measure-theoretic entropy and topological entropy for NAIFSs.

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来源期刊

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.