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arxiv: 1110.1934 · v2 · pith:3KMXVANVnew · submitted 2011-10-10 · 🧮 math.DS

On the Distance Sets of Self-Similar Sets

classification 🧮 math.DS
keywords distanceself-similarsetsdimensionhausdorfflengthplanepositive
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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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