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math.DS2026
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…
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…