Publications
Topological structure of (partially) hyperbolic sets with positive volume. Trans. Amer. Math. Soc.. 2008;360:5551-5569.Edit
Strong statistical stability of non-uniformly expanding maps. Nonlinearity. 2004;17:1193-1215.
Non-uniformly expanding dynamics: stability from a probabilistic viewpoint. Discrete Contin. Dynam. Systems. 2001;7:363-375.
A Variational Principle for Impulsive Semiflows. Journal of Differential Equations. 2015;259:4229-4252.Edit
Ergodic properties of Viana-like maps with singularities in the base dynamics. Proc. Amer. Math. Soc.. 2013;141:3943-3955.Edit
Statistical Stability and Continuity of SRB Entropy for Systems with Gibbs-Markov Structures. Comm. Math. Phys.. 2010;296:739-767.
On the continuity of the SRB entropy for endomorphisms. J. Stat. Phys.. 2006;123:763-785.Edit
Statistical analysis of non-uniformly expanding dynamical systems Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro 2003.
Gibbs-Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction. Adv. Math.. 2010;223:1706-1730.Edit
Equilibrium states for impulsive semiflows. Journal of Mathematical Analysis and Applications. 2017;451(2):839-857.Edit
Markov structures and decay of correlations for non-uniformly expanding dynamical systems. Ann. Inst. H. Poincaré Anal. Non Linéaire. 2005;22:817-839.Edit
Stochastic behavior of asymptotically expanding maps. Discrete Contin. Dynam. Systems. 2001:14-21.
Explosion of smoothness for conjugacies between multimodal maps. J. Lond. Math. Soc. (2). 2014;89:255-274.Edit
[2005-32] On the volume of singular-hyperbolic sets .Edit
Stochastic stability of non-uniformly hyperbolic diffeomorphisms. Stoch. Dyn.. 2007;7:299-333.Edit
Random perturbations of nonuniformly expanding maps. Astérisque. 2003:xvii, 25-62.Edit
SRB measures for partially hyperbolic systems whose central direction is weakly expanding. J. Eur. Math. Soc. (JEMS). 2017;19:2911-2946.Edit
Statistical stability for Hénon maps of the Benedicks-Carleson type. Ann. Inst. H. Poincaré Anal. Non Linéaire. 2010;27:595-637.
On the continuity of entropy for non-uniformly expanding maps. In: EQUADIFF 2003. World Sci. Publ., Hackensack, NJ; 2005. 4. p. 409-414p. Edit
Statistical stability for robust classes of maps with non-uniform expansion. Ergodic Theory Dynam. Systems. 2002;22:1-32.Edit
From rates of mixing to recurrence times via large deviations. Adv. Math.. 2011;228:1203-1236.Edit