14 citations · 21 across the 9 of their papers we have counts for
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math.DS2006
Recurrence times and rates of mixing for invertible dynamical systems
Jose F. Alves, Vilton Pinheiro
We consider invertible discrete-time dynamical systems having a hyperbolic product structure in some region of the phase space with infinitely many branches and variable recurrence…
math.DS2006★ 14 cited
Shadowing by non uniformly hyperbolic periodic points and uniform hyperbolicity
Armando Castro, Krerley Oliveira, Vilton Pinheiro
We prove that, under a mild condition on the hyperbolicity of its periodic points, a map which is topologically conjugated to a hyperbolic map (respectively, an expanding map)…
math.DS2006
Topological structure of (partially) hyperbolic sets with positive volume
Jose F. Alves, Vilton Pinheiro
We consider both hyperbolic sets and partially hyperbolic sets attracting a set of points with positive volume in a Riemannian manifold. We obtain several results on the topologica…