Moreira's Theorem on the arithmetic sum of dynamically defined Cantor sets

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dc.creatorShmerkin, Pablo
dc.date2008-07-23
dc.date.accessioned2026-07-07T09:52:23Z
dc.date.available2026-07-07T09:52:23Z
dc.descriptionWe present a complete proof of a theorem of C.G. Moreira. Under mild checkable conditions, the theorem asserts that the Hausdorff dimension of the arithmetic sum of two dynamically defined Cantor subsets of the real line, equals either the sum of the dimensions or 1, whichever is smaller.
dc.description15 pages. Expository notes, will not be submitted
dc.identifierhttps://arxiv.org/abs/0807.3709
dc.identifierhttp://arxiv.org/abs/0807.3709
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165579
dc.subjectDynamical Systems
dc.subjectClassical Analysis and ODEs
dc.subject37C45; 28A80
dc.titleMoreira's Theorem on the arithmetic sum of dynamically defined Cantor sets
dc.typetext

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