ON HAUSDORFF DIMENSION AND TOPOLOGICAL ENTROPY

被引：5

作者：

Ma, Dongkui ^{[1
]}

Wu, Min ^{[1
]}

机构：

[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2010年 / 18卷 / 03期

关键词：

Compact System; Topological Entropy; Hausdorff Dimension; Condition A; Dimension Metric; DYNAMICAL-SYSTEMS; SETS;

D O I：

10.1142/S0218348X10004956

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f : X -> X be a continuous map of a compact topological space. If there exists a metric function on X and it satisfies some restricted conditions, we obtain some relationships between Hausdorff dimension and topological entropy for any Z subset of X. Using those results, we also obtain a variational principle of dimensions, generalize some known results and give some examples.

引用

页码：363 / 370

页数：8

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