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20022009
most citedShadowing by non uniformly hyperbolic periodic points and uniform hyperbolicity

14 citations · 21 across the 9 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…