09-210 Juan DENG, Zhi-Ying WEN, Ying XIONG, Li-Feng XI
Bilipschitz Embedding of Self-similar Sets (378K, PDF) Nov 25, 09
Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. This paper proves that the self-similar set satisfying the strong separation condition can be bilipschitz embedded into self-similar set with larger Hausdorff dimension, and it can be embedded into a self-similar set with the same Hausdorff dimension if and only if these two self-similar sets are bilipschitz equivalent.

Files: 09-210.src( 09-210.keywords , embed.pdf.mm )