Multifractal analysis for conformal graph directed Markov systems

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dc.creatorRoy, Mario
dc.creatorUrbanski, Mariusz
dc.date2008-09-25
dc.date.accessioned2026-07-07T10:05:19Z
dc.date.available2026-07-07T10:05:19Z
dc.descriptionWe derive the multifractal analysis of the conformal measure (or equivalently, the invariant measure) associated to a family of weights imposed upon a (multi-dimensional) graph directed Markov system (GDMS) using balls as the filtration. This analysis is done over a large subset of the limit set. In particular, it coincides with the limit set when the GDMS under scrutiny satisfies a boundary separation condition. It also applies to more general situations such as real or complex continued fractions.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0809.4436
dc.identifierhttp://arxiv.org/abs/0809.4436
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169977
dc.subjectDynamical Systems
dc.titleMultifractal analysis for conformal graph directed Markov systems
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