28 citations · 75 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
An optimization problem with free boundary governed by a degenerate quasilinear operator
Krerley Oliveira, Eduardo Teixeira
In this paper we study the existence, regularity and geometric properties of an optimal configuration to a free boundary optimization problem governed by the -Laplacian.
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…
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)…