Multi-Model Cantor Sets

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dc.creatorCockerill, Elizabeth
dc.date2002-02-19
dc.date.accessioned2026-07-07T04:46:34Z
dc.date.available2026-07-07T04:46:34Z
dc.descriptionIn 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.
dc.description26 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/math/0202198
dc.identifierhttp://arxiv.org/abs/math/0202198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63383
dc.subjectDynamical Systems
dc.subject37D40 (Primary) 28A80 (Secondary)
dc.titleMulti-Model Cantor Sets
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