强分离条件下自相似集的Lipschitz等价

奚李峰;阮火军;

数学学报 ›› 2008, Vol. 51 ›› Issue (3) : 493-500.

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中国科学院数学与系统科学研究院期刊网
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数学学报 ›› 2008, Vol. 51 ›› Issue (3) : 493-500. DOI: 10.12386/A2008sxxb0058
论文

强分离条件下自相似集的Lipschitz等价

    奚李峰;阮火军;
作者信息 +

Lipschitz Equivalence of SeW-Similar Sets Satisfying Strong Separation Condition

    Li Feng XI(1); Huo Jun RUAN(2)
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摘要

利用有向图结构刻画了满足强分离条件的自相似集Lipschitz等价的充要条件.

Abstract

For two self-similar sets satisfying the stong separation condition,the nec- essary and sufficient condition for them to be Lipschitz equivalent is obtained in terms of graph-directed construction.

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自相似集 / 分形 / Lipschitz等价

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奚李峰;阮火军;. 强分离条件下自相似集的Lipschitz等价. 数学学报, 2008, 51(3): 493-500 https://doi.org/10.12386/A2008sxxb0058
Li Feng XI(1); Huo Jun RUAN(2). Lipschitz Equivalence of SeW-Similar Sets Satisfying Strong Separation Condition. Acta Mathematica Sinica, Chinese Series, 2008, 51(3): 493-500 https://doi.org/10.12386/A2008sxxb0058
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