Sylvain Crovisier: Strong positive recurrence for surface diffeomorphisms
Time: Thu 2021-10-21 13.00
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.