Bilipschitz embedding of self-similar sets

被引：0
作者：
Juan Deng
Zhi-ying Wen
Ying Xiong
Li-Feng Xi
机构：
[1] Tsinghua University,Department of Mathematics
[2] South China University of Technology,Department of Mathematics
[3] Zhejiangwanli University Ningbo,Institute of Mathematics
来源：
Journal d'Analyse Mathématique | 2011年 / 114卷
关键词：
Hausdorff Dimension; Hausdorff Measure; Transitive Graph; Strong Separation Condition; Bilipschitz Equivalent;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove that each self-similar set satisfying the strong separation condition can be bilipschitz embedded into each self-similar set with larger Hausdorff dimension. A bilipschitz embedding between two self-similar sets of the same Hausdorff dimension both satisfying the strong separation condition is only possible if the two sets are bilipschitz equivalent.
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页码：63 / 97
页数：34
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