6 papers
Symbolic extension of maps in arbitrary dimensions
Chiyi Luo, Dawei Yang
We prove that every self-map of a compact Riemannian manifold, in arbitrary dimension, admits a symbolic extension. This gives a positive answer to the conjectu…
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…
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…
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 se…
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 …
Upper semi-continuity of metric entropy for diffeomorphisms
Chiyi Luo, Dawei Yang
We establish a uniform approximation of metric entropy by partition entropy using uniform partitions for $\cC^{1,α}$ three-dimensional diffeomorphisms. This gives several consequen…