Lipschitz equivalence of fractal sets in R

被引：0
|
作者：
DENG GuoTai & HE XingGang College of Mathematics and Statistics
机构：
来源：
ScienceChina(Mathematics) | 2012年 / 55卷 / 10期
基金：
中国国家自然科学基金;
关键词：
dust-like; graph-directed iterating function systems; Lipschitz equivalence; self-similar sets;
D O I：
暂无
中图分类号：
O189 [拓扑（形势几何学）];
学科分类号：
070104 ;
摘要：
Let T(q,D) be a self-similar(fractal) set generated by {fi(x) = 1 q(x + di)}iN=1 where integer q > 1 and D = {d1,d2,...,dN } R.To show the Lipschitz equivalence of T(q,D) and a dust-like T(q,C),one general restriction is D Q by Peres et al.[Israel J Math,2000,117:353-379].In this paper,we obtain several sufficient criterions for the Lipschitz equivalence of two self-similar sets by using dust-like graph-directed iterating function systems and combinatorial techniques.Several examples are given to illustrate our theory.
引用
收藏
页码：2094 / 2106
页数：13
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