1 citations · 2 across the 6 of their papers we have counts for
6 papers
Minimization and Hyperbolicity
Gonzalo Contreras, Daniel Offin
In this paper we study the relationship between the strict locally minimizing orbits for time dependent lagrangian systems and hyperbolicity properties of the corresponding lagrang…
Generic hyperbolic Mañé sets have zero entropy
Gonzalo Contreras
We prove that in the topology generic hyperbolic Mañé sets have zero topological entropy.
Proof of the Mañé's conjecture on surfaces
Gonzalo Contreras
We prove that generic hyperbolic Mañé sets contain a periodic periodic orbit. In dimension 2, adding a result by Contreras, Figalli, Rifford, which states that generic…
Closed geodesics and the first Betti number
Gonzalo Contreras, Marco Mazzucchelli
We prove that, on any closed manifold of dimension at least two with non-trivial first Betti number, a generic Riemannian metric has infinitely many closed geodesics, an…
Positive topological entropy of Tonelli Lagrangian flows
Gonzalo Contreras, José Antônio G. Miranda, Luiz Gustavo Perona
We study the topological entropy of the Lagrangian flow restricted to an energy level for . We prove that if the flow of the Tonelli Lagrangi…
Ergodic Transport Theory, periodic maximizing probabilities and the twist condition
G. Contreras, A. O. Lopes, E. R. Oliveira
The present paper is a follow up of another one by A. O. Lopes, E. Oliveira and P. Thieullen which analyze ergodic transport problems. Our main focus will a more precise analysis o…