63 citations · 208 across the 40 of their papers we have counts for
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math.DS2009
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…
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.DS2009★ 13 cited
Statistical stability and continuity of SRB entropy for systems with Gibbs-Markov structures
Jose F. Alves, Maria Carvalho, Jorge Milhazes Freitas
We present conditions on families of diffeomorphisms that guarantee statistical stability and SRB entropy continuity. They rely on the existence of horseshoe-like sets with infinit…