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Seminários do IMPA

Teoria Ergódica

Título
Recent progress on the Viana conjecture
Expositor
Stefano Luzzatto

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy
Data
Terça-feira, 18 de dezembro de 2018, 15:30
Local
Sala 228
Resumo

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.