Multi-Model Cantor Sets

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In this paper we define a new class of metric spaces, called multi-model Cantor sets. We compute the Hausdorff dimension and show that the Hausdorff measure of a multi-model Cantor set is finite and non-zero. We then show that a bilipschitz map from one multi-model Cantor set to another has constant Radon-Nikodym derivative on some clopen. We use this to obtain an invariant up to bilipschitz homeomorphism.
26 pages, 10 figures

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Dynamical Systems, 37D40 (Primary) 28A80 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/63383

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202198
 http://arxiv.org/abs/math/0202198

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arXiv