动态系统的Brin-Katok公式承认错误

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2021-07-16 DOI:10.1080/14689367.2021.1949436

Chiyi Luo, Yun Zhao

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引用次数: 0

摘要

给定一个拓扑动力系统(X,T)，即T是紧度量空间X上的一个允许错误的连续变换，且是一个不变测度，证明了这种情况下的Brin-Katok公式。特别地，本文发现研究一个在n上是线性的，关于Δ单调的错误函数就足够了。因此，本文给出了用平均Bowen指标代替Bowen指标的平均Bowen球的Brin-Katok公式。本文的结果可用于研究允许小误差的动力系统的其他性质。

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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The Brin–Katok formula for dynamical systems admitting mistakes

Given a topological dynamical system (X,T), i.e., T is a continuous transformation on a compact metric space X), that admits mistakes and an invariant measure, this paper proves the Brin–Katok formula in this case. In particular, this paper finds that it suffices to study a mistake function which is linear in n and monotonic with respect to Δ. Consequently, this paper shows the Brin–Katok formula for the mean Bowen ball replacing the Bowen metrics with the mean Bowen metrics. The results presented in this paper may have some applications in the study of other properties of a dynamical system which admits small errors.

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences