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https://repositorio.ufba.br/handle/ri/15724
metadata.dc.type: | Artigo de Periódico |
Title: | Non-uniform Specification and Large Deviations for Weak Gibbs Measures |
Other Titles: | Journal of Statistical Physics |
Authors: | Varandas, Paulo César Rodrigues Pinto |
metadata.dc.creator: | Varandas, Paulo César Rodrigues Pinto |
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. |
Keywords: | Non-uniform specification Large deviations Hyperbolic times Weak Gibbs measure |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/15724 |
Issue Date: | 2012 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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Paulo Varandas.pdf | 903,77 kB | Adobe PDF | View/Open |
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