On the Distance Sets of Self-Similar Sets

Details On the Distance Sets of Self-Similar Sets On the Distance Sets of Self-Similar Sets

2011-10-10

arxiv.org/abs/1110.1934v1

Mathematics

Dynamical Systems

11 pages, one figure

Scientific paper

We show that if K is a self-similar set in the plane with positive length,
then the distance set of K has Hausdorff dimension one.

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