Non-uniform Specification and Large Deviations for Weak Gibbs Measures |
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Authors: | Paulo Varandas |
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Institution: | 1.Departamento de Matemática,Universidade Federal da Bahia,Salvador,Brazil |
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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. |
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Keywords: | |
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