展开马尔可夫映射的Lipschitz函数下循环和收缩目标集的Hausdorff维数

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2023-02-24 DOI:10.1080/14689367.2023.2184328

Na Yuan, Bing Li

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引用次数: 2

摘要

设T是一个扩展的马尔可夫映射，在上面定义了一个排斥者E。本文研究集合的Hausdorff维数，其中是具有一致Lipschitz常数的Lipschitz函数序列，f是在上定义的正连续函数，是和，ψ是在上定义的正函数。所得结果可应用于切饼动力系统和连分数动力系统等。

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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Hausdorff dimensions of recurrent and shrinking target sets under Lipschitz functions for expanding Markov maps

Let T be an expanding Markov map with a repeller E defined on . This paper concerns the Hausdorff dimension of the sets and where is a sequence of Lipschitz functions with a uniform Lipschitz constant, , f is a positive continuous function on , is the sum and ψ is a positive function defined on . The results can be applied to cookie-cutter dynamical systems and continued fraction dynamical systems, etc.

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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