Sylvain Crovisier: Strong positive recurrence for surface diffeomorphisms

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.