Strong Positive recurrence for potential and exponential mixing of equilibrium states of surface diffeomorphisms
Abstract
In this paper, we study the strong positive recurrence property for a large class of potentials of $C^{\infty}$ surface diffeomorphisms with positive entropy. We establish several statistical properties of the corresponding equilibrium states, including exponential decay of correlations and effective intrinsic ergodicity.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Stochastic processes and statistical mechanics
advanced mathematical theories
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 4 February 2026
- Document type
- Preprint