Séminaires : Séminaire de Systèmes Dynamiques

Equipe(s) : gd,
Responsables :H. Eliasson, B. Fayad, R. Krikorian, P. Le Calvez
Email des responsables :
Salle : 15-25-502
Adresse :Campus Pierre et Marie Curie

Archive avant 2015

Hébergé par le projet Géométrie et Dynamique de l’IMJ

Orateur(s) Roberto Castorrini - LPSM,
Titre Quantitative statistical properties for partially hyperbolic systems
Horaire14:00 à 15:45
RésumeIn the last years, an extremely powerful method has been developed to investigate the statistical properties of a dynamical system: the functional approach. It consists of the study of the spectral properties of the transfer operator on suitable Banach spaces. In this talk we will discuss how to further such a point of view to a class of two dimensional partially hyperbolic systems, not necessarily skew products, to prove existence of finitely many physical measures with smooth densities and decay of correlations. To illustrate the scopes of the theory, we will discuss how to apply the results, from a quantitative point of view, to the case of fast-slow partially hyperbolic systems. 
This is a joint work with Carlangelo Liverani.
AdresseCampus Pierre et Marie Curie