Recent progress on the Viana conjecture

Stefano Luzzatto
18/12/2018 , 15:30 | Sala 228

I will discuss some questions related to the Viana conjecture on the existence of SRB measures for systems with non-zero Lyapunov exponents. Inparticular 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.