28 citations · 75 across the 15 of their papers we have counts for
Showing 2006 · math.DSShow all
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math.DS2006★ 17 cited
Equilibrium States for Non-uniformly expanding maps
Krerley Oliveira
We construct equilibrium states, including measures of maximal entropy, for a large (open) class of non-uniformly expanding maps on compact manifolds. Moreover, we study uniqueness…
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)…