7 citations · 7 across the 4 of their papers we have counts for
7 papers · 1 filter
Backward volume contraction for endomorphisms with eventual volume expansion
Vilton Pinheiro, Armando Castro, J. F. Alves
We consider smooth maps on compact Riemannian manifolds. We prove that under some mild condition of eventual volume expansion Lebesgue almost everywhere we have uniform backward vo…
On the nonexistence of fat partially hyperbolic horseshoes
José F. Alves, Vilton Pinheiro
We show that there are no partially hyperbolic horseshoes with positive Lebesgue measure for diffeomorphisms whose class of differentiability is higher than 1. This generalizes a c…
Backward volume contraction for endomorphisms with eventual volume expansion
Jose F. Alves, Armando Castro, Vilton Pinheiro
We consider smooth maps on compact Riemannian manifolds. We prove that under some mild condition of eventual volume expansion Lebesgue almost everywhere we have uniform backward vo…
On the continuity of the SRB entropy for endomorphisms
Jose F. Alves, Krerley Oliveira, Ali Tahzibi
We consider classes of dynamical systems admitting Markov induced maps. Under general assumptions, which in particular guarantee the existence of SRB measures, we prove that the en…
Markov structures and decay of correlations for non-uniformly expanding dynamical systems
J. F. Alves, S. Luzzatto, V. Pinheiro
We consider non-uniformly expanding maps on compact Riemannian manifolds of arbitrary dimension, possibly having discontinuities and/or critical sets, and show that under some gene…
On the uniform hyperbolicity of some nonuniformly hyperbolic systems
Jose F. Alves, Vitor Araujo, Benoit Saussol
We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperbolic dynamical systems. In particular, we show that local diffeomorphisms that are nonunif…