14 citations · 14 across the 5 of their papers we have counts for
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math.DS2006
Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms
Krerley Oliveira, Marcelo Viana
We prove existence of maximal entropy measures for an open set of non-uniformly expanding local diffeomorphisms on a compact Riemannian manifold. In this context the topological en…
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)…