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Please use this identifier to cite or link to this item: http://repositorio.ufba.br/ri/handle/ri/15724

Title: Non-uniform Specification and Large Deviations for Weak Gibbs Measures
Other Titles: Journal of Statistical Physics
Authors: Varandas, Paulo César Rodrigues Pinto
Keywords: Non-uniform specification;Large deviations;Hyperbolic times;Weak Gibbs measure
Issue Date: 2012
Abstract: We establish bounds for the measure of deviation sets associated to continuous observables with respect to not necessarily invariant weak Gibbs measures. Under some mild assumptions, we obtain upper and lower bounds for the measure of deviation sets of some non-uniformly expanding maps, including quadratic maps and robust multidimensional non-uniformly expanding local diffeomorphisms. For that purpose, a measure theoretical weak form of specification is introduced and proved to hold for the robust classes of multidimensional non-uniformly expanding local diffeomorphisms and Viana maps.
Description: Texto completo: acesso restrito. p. 330-358
URI: http://repositorio.ufba.br/ri/handle/ri/15724
ISSN: 0022-4715
Appears in Collections:Artigos Publicados em Periódicos (IM)

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