Empirical measures of partially hyperbolic diffeomorphisms

Orateur: Jinhua ZHANG
Localisation: Université Paris 11, France
Type: Séminaire COOL
Site: Hors LAMA , IHP
Salle: Salle 05
Date de début: 19/10/2018 - 09:45
Date de fin: 19/10/2018 - 10:45

We will first talk about the limits of empirical measures of typical points assuming some weak form of hyperbolicity and we will explain some generalization of the work on u-Gibbs states by Pesin-Sinai and Bonatti-Diaz-Viana. Then we focus on some applications on the existence of SRB measures in partially hyperbolic setting with one-dimensional center. This is a joint work with S. Crovisier and D. Yang.