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metadata.dc.type: | Artigo de Periódico |
Title: | Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps |
Other Titles: | Journal of Statistical Physics |
Authors: | Varandas, Paulo César Rodrigues Pinto |
metadata.dc.creator: | Varandas, Paulo César Rodrigues Pinto |
Abstract: | We study a robust class of multidimensional non-uniformly hyperbolic transformations considered by Oliveira and Viana (Ergod. Theory Dyn. Syst. 28:501–533, 2008). For an open class of Hölder continuous potentials with small variation we show that the unique equilibrium state has exponential decay of correlations and that the distribution of hitting times is asymptotically exponential. Furthermore, using that the equilibrium states satisfy a weak Gibbs property we also prove log-normal fluctuations of the return times around their average. |
Keywords: | Decay of correlations Equilibrium states Non-uniform hyperbolicity Hitting and return times |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/5951 |
Issue Date: | 2008 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
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__www.springerlink.com_c...q543737776230422_fulltext.pdf Restricted Access | 352,84 kB | Adobe PDF | View/Open Request a copy |
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