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math.DS2019
SRB measures and Young towers for surface diffeomorphisms
Vaughn Climenhaga, Stefano Luzzatto, Yakov Pesin
We give geometric conditions that are necessary and sufficient for the existence of Sinai-Ruelle-Bowen (SRB) measures for surface diffeomorphisms, thus proving a version…
math.DS2019
Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points
Vaughn Climenhaga, Gerhard Knieper, Khadim War
We prove that for closed surfaces with Riemannian metrics without conjugate points and genus the geodesic flow on the unit tangent bundle has a unique measure o…