18 de December de 2018, 17:30h @ 17:30 – 19:00 Room 228, IMPA-2-Room 228 (50) [Projector]
Title: Recent progress on the Viana conjecture
Speaker: Stefano Luzzatto – Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy
Abstract: I will discuss some questions related to the Viana conjecture on the existence of SRB measures for systems with non-zero Lyapunov exponents. In particular I will state a new result on the existence of SRB measures for surface diffeomorphisms under quite weak non-uniform hyperbolicity conditions. The proof involves a new technique for the construction of Young Towers and a key technical point is a new general result on the hyperbolic properties of pseudo-orbits in non-uniformly hyperbolic sets.
This is joint work with V. Climenhaga and Y. Pesin.