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).
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页码：379 / 388
页数：10
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