Juan DENG, Zhi-Ying WEN, Ying XIONG, Li-Feng XI 
Bilipschitz Embedding of Self-similar Sets
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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.