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metadata.dc.type: | Artigo de Periódico |
Title: | Gibbs–Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction |
Other Titles: | Advances in Mathematics |
Authors: | Alves, José Ferreira Pinheiro, Vilton Jeovan Viana |
metadata.dc.creator: | Alves, José Ferreira Pinheiro, Vilton Jeovan Viana |
Abstract: | We consider a partially hyperbolic set K on a Riemannian manifold M whose tangent space splits as TKM=Ecu⊕Es, for which the center-unstable direction Ecu expands non-uniformly on some local unstable disk. We show that under these assumptions f induces a Gibbs–Markov structure. Moreover, the decay of the return time function can be controlled in terms of the time typical points need to achieve some uniform expanding behavior in the center-unstable direction. As an application of the main result we obtain certain rates for decay of correlations, large deviations, an almost sure invariance principle and the validity of the central limit theorem. |
Keywords: | Partial hyperbolicity Gibbs–Markov structure Decay of correlations Large deviations Almost sure invariance principle Central limit theorem |
Publisher: | Elsevier |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/5856 |
Issue Date: | Mar-2010 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
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File | Description | Size | Format | |
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(17)1-s2.0-S0001870809003259-main.pdf Restricted Access | 258,55 kB | Adobe PDF | View/Open Request a copy |
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