Slow Rates of Mixing for Dynamical Systems with Hyperbolic Structures

Please use this identifier to cite or link to this item: https://repositorio.ufba.br/handle/ri/6255

metadata.dc.type:	Artigo de Periódico
Title:	Slow Rates of Mixing for Dynamical Systems with Hyperbolic Structures
Other Titles:	Journal of Statistical Physics
Authors:	Alves, José Ferreira Pinheiro, Vilton Jeovan Viana
metadata.dc.creator:	Alves, José Ferreira Pinheiro, Vilton Jeovan Viana
Abstract:	We consider invertible discrete-time dynamical systems having a hyperbolic product structure in some region of the phase space with infinitely many branches and variable return time. We show that the decay of correlations of the SRB measure associated to that hyperbolic structure is related to the tail of the recurrence times. We also give sufficient conditions for the validity of the Central Limit Theorem. This extends previous results by Young in (Ann. Math. 147: 585–650, 1998; Israel J. Math. 110: 153–188, 1999).
Keywords:	Recurrence times Decay of correlations Central limit theorem
URI:	http://www.repositorio.ufba.br/ri/handle/ri/6255
Issue Date:	2008
Appears in Collections:	Artigo Publicado em Periódico (IME)

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