Modul:   MAT760  Ergodic Theory and Dynamical Systems Seminar

Existence of physical measures for smooth surface diffeomorphisms

Talk by Prof. Dr. Sylvain Crovisier

Speaker invited by: Prof. Dr. Corinna Ulcigrai

Date: 12.12.22  Time: 13.30 - 14.30  Room: Y27H28

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.