7 citations · 21 across the 15 of their papers we have counts for
17 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…
Absolute continuity of stationary measures for random surface dynamics
Aaron Brown, Homin Lee, Davi Obata +1
We find conditions for stationary measures of random dynamical systems on surfaces having dissipative diffeomorphisms to be absolutely continuous. These conditions involve a unifor…
Simple Lyapunov spectrum of partially hyperbolic diffeomorphisms
Karina Marin, Davi Obata, Mauricio Poletti
We study the simplicity of the Lyapunov spectrum of partially hyperbolic diffeomorphisms. We prove that a class of volume-preserving partially hyperbolic diffeomorphisms is -a…
Absolute continuity of stationary measures
Aaron Brown, Homin Lee, Davi Obata +1
Let and be two volume preserving, Anosov diffeomorphisms on , sharing common stable and unstable cones. In this paper, we find conditions for the existence of…
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…
Uniqueness of -Gibbs measures for hyperbolic skew products on
Sylvain Crovisier, Davi Obata, Mauricio Poletti
We study the -Gibbs measures of a certain class of uniformly hyperbolic skew products on . These systems have a strong unstable and a weak unstable directions. We…