Time：14:00-15:00, Friday, March 28 2025
Venue：E4-233
Host：Thierry De Pauw, ITS
Speaker：Jérôme Buzzi, Université Paris Saclay
Biography：Jérôme Buzzi works in dynamics, especially in the ergodic theory of smooth dynamical systems. He is a senior researcher at the Centre National de la Recherche Scientifique (France), currently in Orsay after positions in Dijon, Marseilles, and Ecole polytechnique. He was a student at Ecole normale supérieure in Paris. He received his Ph.D from Université Paris-Sud in 1995.
Title：Smooth surface dynamics in positive entropy
Abstract:
It was noticed by Newhouse that general surface diffeomorphisms in positive entropy exhibit properties similar to the hyperbolicity of Anosov-Smale. In a joint project with Sylvain CROVISIER and Omri SARIG we have shown that, e.g., such diffeomorphisms have finitely many ergodic measures maximizing the entropy and exhibit exponential mixing, almost sure invariance principle and many other statistical properties typical of a "spectral gap". I will try to explain how this can be proved by introducing a general notion of "strong positive recurrence".
