Equilibrium States for Partially Hyperbolic Horseshoes (2008)
Leplaideur, Renaud, Oliveira, Krerley, Rios, Isabel
In this paper, we study ergodic features of invariant measures for the partially hyperbolic horseshoe at the boundary of uniformly hyperbolic diffeomorphisms constructed in \cite{DHRS07}. Despite the...
Equilibrium States for Partially Hyperbolic Horseshoes (2007)
Leplaideur, Renaud, Oliveira, Krerley, Rios, Isabel
In this paper, we study ergodic features of invariant measures for the partially hyperbolic horseshoe at the boundary of uniformly hyperbolic diffeomorphisms constructed in \cite{DHRS07}. Despite the...
Equilibrium States for Partially Hyperbolic Horseshoes (2007)
Leplaideur, Renaud, Oliveira, Krerley, Rios, Isabel
In this paper, we study ergodic features of invariant measures for the partially hyperbolic horseshoe at the boundary of uniformly hyperbolic diffeomorphisms constructed in \cite{DHRS07}. Despite the...
Equilibrium States for Non-uniformly expanding maps (2006)
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 of these...
Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms (2006)
Oliveira, Krerley, Viana, Marcelo
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 entropy coincides...
An optimization problem with free boundary governed by a degenerate quasilinear operator (2006)
Oliveira, Krerley, Teixeira, Eduardo
In this paper we study the existence, regularity and geometric properties of an optimal configuration to a free boundary optimization problem governed by the $p$-Laplacian.
Shadowing by non uniformly hyperbolic periodic points and uniform hyperbolicity (2006)
Castro, Armando, Oliveira, Krerley, Pinheiro, Vilton
We prove that, under a mild condition on the hyperbolicity of its periodic points, a map $g$ which is topologically conjugated to a hyperbolic map (respectively, an expanding map) is also a...
An optimization problem with free boundary governed by a degenerate quasilinear operator (2006)
Krerley Oliveira, Eduardo V. 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 p-Laplacian operator.
On the continuity of the SRB entropy for endomorphisms (2004)
Alves, Jose F., Oliveira, Krerley, Tahzibi, Ali
We consider classes of dynamical systems admitting Markov induced maps. Under general assumptions, which in particular guarantee the existence of SRB measures, we prove that the entropy of the SRB...
Geometrical versus Topological Properties of Manifolds (2003)
Matheus, Carlos, Oliveira, Krerley
Given a compact $n$-dimensional immersed Riemannian manifold $M^n$ in some Euclidean space we prove that if the Hausdorff dimension of the singular set of the Gauss map is small, then $M^n$ is...
Equilibrium States for Random Non-uniformly Expanding Maps (2003)
Arbieto, Alexander, Matheus, Carlos, Oliveira, Krerley
We show that, for a robust ($C^2$-open) class of random non-uniformly expanding maps, there exists equilibrium states for a large class of potentials.In particular, these sytems have measures of...