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莫朗集的拟Lipschitz等价

Quasi-Lipschitz Equivalence of Moran Fractals
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摘要 讨论满足c*〉0及s*=s*∈(0,1)条件的莫朗集,并得到如下结论:任意两个该类型莫朗集彼此拟Lipschitz等价当且仅当它们的Hausdorff维数相等. We consider the class of Moran sets satisfying the conditions c* 〉 0 and s. = s* E (0, 1). We obtain that two Moran fractals in the class are quasi-Lipschitz equivalent if and only if they have the same Hausdorff dimension.
作者 汪沁
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2013年第2期187-196,共10页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金(11071224) 新世纪优秀人才支持计划 浙江省自然科学基金(LY12F02011)
关键词 分形 莫朗集 拟Lipschitz等价 fractal Moran set quasi-Lipschitz equivalence
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