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math.DS2024
Continuity properties of ergodic measures of maximal entropy for surface diffeomorphisms
Jérôme Buzzi, Chiyi Luo, Dawei Yang
Let be a surface diffeomorphism with large entropy (more precisely, ). Then the number of ergodic measures of maximal entropy is upper sem…
math.DS2024
Ergodic measures with large entropy have long unstable manifolds for surface diffeomorphisms
Chiyi Luo, Dawei Yang
We prove that for ergodic measures with large entropy have long unstable manifolds for surface diffeomorphisms. Specifically, for any , there exist constants …