14 citations · 16 across the 5 of their papers we have counts for
5 papers
Uniqueness of the measure of maximal entropy for geodesic flows on surfaces
Yuri Lima, Davi Obata, Mauricio Poletti
We prove that if a geodesic flow on a closed orientable surface is transitive and has positive topological entropy, then it has a unique measure of maximal entropy. This…
Measures of maximal entropy for non-uniformly hyperbolic maps
Yuri Lima, Davi Obata, Mauricio Poletti
For maps, possibly non-invertible and with singularities, we prove that each homoclinic class of an ergodic adapted hyperbolic measure carries at most one adapted hyperbol…
Homoclinic classes of geodesic flows on rank 1 manifolds
Yuri Lima, Mauricio Poletti
Given a flow with positive speed on a closed smooth Riemannian manifold, we code two homoclinically related -invariant probabilities by an irreducible countable to…
Symbolic dynamics for nonuniformly hyperbolic maps with singularities in high dimension
Ermerson Araujo, Yuri Lima, Mauricio Poletti
We construct Markov partitions for non-invertible and/or singular nonuniformly hyperbolic systems defined on higher dimensional Riemannian manifolds. The generality of the setup co…
Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems
Lucas Backes, Mauricio Poletti, Paulo Varandas +1
We prove that generic fiber-bunched and Hölder continuous linear cocycles over a non-uniformly hyperbolic system endowed with a u-Gibbs measure have simple Lyapunov spectrum. This…