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math.DS2009
Gibbs-Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction
Jose F. Alves, Vilton Pinheiro
We consider a partially hyperbolic set on a Riemannian manifold whose tangent space splits as , for which the centre-unstable direction e…
math.DS2006
Recurrence times and rates of mixing for invertible dynamical systems
Jose F. Alves, Vilton Pinheiro
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 recurrence…
math.DS2006★ 1 cited
Statistical Stability for Henon maps of the Benedicks-Carleson type
Jose F. Alves, Maria Carvalho, Jorge Milhazes Freitas
We consider the family of Henon maps in the plane and show that the SRB measures vary continuously in the weak* topology within the set of Benedicks-Carleson parameters.