Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps

dc.creatorVarandas, Paulo César Rodrigues Pinto
dc.creatorVarandas, Paulo César Rodrigues Pinto
dc.date.accessioned2022-10-07T15:23:58Z
dc.date.available2022-10-07T15:23:58Z
dc.date.issued2008
dc.identifier0022-4715
dc.identifierhttp://www.repositorio.ufba.br/ri/handle/ri/5951
dc.identifierv. 133, n. 5
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/4004921
dc.description.abstractWe 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.
dc.languageen
dc.sourcehttp://www.springerlink.com/content/q543737776230422/fulltext.pdf
dc.subjectDecay of correlations
dc.subjectEquilibrium states
dc.subjectNon-uniform hyperbolicity
dc.subjectHitting and return times
dc.titleCorrelation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
dc.typeArtigo de Periódico


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