# Existence of physical measures for smooth surface diffeomorphisms

 Dia 2023-02-17 14:30:00-03:00 Hora 2023-02-17 14:30:00-03:00 Lugar Salón a determinar

### Existence of physical measures for smooth surface diffeomorphisms

#### Sylvain Crovisier(Université Paris-Saclay)

Marcelo Viana has conjectured that a smooth diffeomorphism admits a physical measure if the Lyapunov exponents of its orbits in a full volume set do not vanish. I will explain how a technique controlling the continuity of Lyapunov exponents allows to prove this conjecture in the case of smooth surface diffeomorphisms. This is a joint work with Jérôme Buzzi and Omri Sarig.