LIPSCHITZ EQUIVALENCE OF GENERAL SIERPINSKI CARPETS

被引：12

作者：

Dai, Meifeng ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2008年 / 16卷 / 04期

基金：

美国国家科学基金会;

关键词：

Lipschitz Equivalence; Sierpinski Carpet; Graph-Directed Set; Self-Similar Set; Invariant Set;

D O I：

10.1142/S0218348X08004022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, a lot of work has been devoted to the study of the Lipschitz equivalence between self-similar sets. Many related results on self-similar sets of the real line have been well-known under the condition that the similarity ratios equal each other. In this paper, we generalize some results to a more general setting. We mainly study the Lipschitz equivalence between two general Sierpinski carpets in R(2).

引用

页码：379 / 388

页数：10

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