7 citations · 21 across the 15 of their papers we have counts for
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math.DS2025
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…
math.DS2025
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…
math.DS2025
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…