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arXiv · 0909.1928

Lipschitz equivalence of subsets of self-conformal sets

Marta Llorente·Pertti Mattila
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Abstract

We give sufficient conditions to guarantee that if two self-conformal sets E and F have Lipschitz equivalent subsets of positive measure, then there is a bilipschitz map of E into, or onto, F.

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Marta Llorente, Pertti Mattila. 2009-09-10. Lipschitz equivalence of subsets of self-conformal sets. https://doi.org/10.1088/0951-7715%2F23%2F4%2F006

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