3 papers
math.DS2026
Strong Positive recurrence for potential and exponential mixing of equilibrium states of surface diffeomorphisms
Chiyi Luo, Dawei Yang
In this paper, we study the strong positive recurrence property for a large class of potentials of surface diffeomorphisms with positive entropy. We establish several…
math.DS2025
Effective SPR property for surface diffeomorphisms and three-dimensional vector fields
David Burguet, Chiyi Luo, Dawei Yang
In this paper, we prove that ergodic measures with large entropy give uniformly large measure to the set of points with simultaneously long unstable and long stable manifolds. As a…
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…