Bilipschitz Embedding of Self-similar Sets

نویسندگان

  • JUAN DENG
  • ZHI-YING WEN
  • YING XIONG
چکیده

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.

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تاریخ انتشار 2009