7 citations · 7 across the 3 of their papers we have counts for
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math.DS2005
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…
math.DS2004
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…
math.DS2002★ 7 cited
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…