Publications
A survey of recent results on some statistical features of non-uniformly expanding maps. Discrete Contin. Dyn. Syst.. 2006;15:1-20.
Invariant probability measures and non-wandering sets for impulsive semiflows. J. Stat. Phys.. 2014;157:1097-1113.
On the uniform hyperbolicity of some nonuniformly hyperbolic systems. Proc. Amer. Math. Soc.. 2003;131:1303-1309.Edit
From rates of mixing to recurrence times via large deviations. Adv. Math.. 2011;228:1203-1236.Edit
Statistical stability of geometric Lorenz attractors. Fund. Math.. 2014;224:219-231.Edit
Slow rates of mixing for dynamical systems with hyperbolic structures. J. Stat. Phys.. 2008;131:505-534.Edit
Lyapunov exponents and rates of mixing for one-dimensional maps. Ergodic Theory Dynam. Systems. 2004;24:637-657.Edit
A Variational Principle for Impulsive Semiflows. Journal of Differential Equations. 2015;259:4229-4252.Edit
SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Invent. Math.. 2000;140:351-398.Edit
Statistical stability and limit laws for Rovella maps. Nonlinearity. 2012;25:3527-3552.Edit
Statistical Stability and Continuity of SRB Entropy for Systems with Gibbs-Markov Structures. Comm. Math. Phys.. 2010;296:739-767.
Geometry of expanding absolutely continuous invariant measures and the liftability problem. Ann. Inst. H. Poincaré Anal. Non Linéaire. 2013;30:101-120.Edit
Backward volume contraction for endomorphisms with eventual volume expansion. C. R. Math. Acad. Sci. Paris. 2006;342:259-262.Edit
Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension. Electron. Res. Announc. Amer. Math. Soc.. 2003;9:26-31.Edit
Equilibrium states for impulsive semiflows. Journal of Mathematical Analysis and Applications. 2017;451(2):839-857.Edit
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.
Strong stochastic stability for non-uniformly expanding maps. Ergodic Theory Dynam. Systems. 2013;33:647-692.Edit
On the continuity of the SRB entropy for endomorphisms. J. Stat. Phys.. 2006;123:763-785.Edit