# Sylvain Crovisier: Strong positive recurrence for surface diffeomorphisms

**Time: **
Thu 2021-10-21 13.00

**Location: **
Zoom meeting ID: https://kth-se.zoom.us/j/61173989405

**Lecturer: **
Sylvain Crovisier (Université Paris-Saclay)

Abstract: We introduce the strong positive recurrence property for diffeomorphisms of a manifold and show that it holds for every C-infinity surface diffeomorphism with positive topological entropy. It implies that the ergodic measures maximizing the entropy have exponential decay of correlations and satisfy a central limit theorem. This is a joint work with J. Buzzi and O. Sarig.