Para receber por e-mail novas publicações de Seminário de Teoria Ergódica, Clique Aqui!

Seminários do IMPA

Teoria Ergódica

Recent progress on the Viana conjecture
Stefano Luzzatto

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy
Terça-feira, 18 de dezembro de 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. 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.