Fast-slow partially hyperbolic systems

par Prof. Carlangelo LIVERANI (Univ. Roma Tor Vergata)

lundi 8 sept. 2014, 14:30 → 15:30 Europe/Paris

Amphithéâtre Léon Motchane (I.H.E.S.)

I will show a simple example of fast-slow partially hyperbolic systems in which the fast variable acts similarly to a Gaussian  noise and will obtain, for such a deterministic setting, results similar to the one obtained in Freidlin--Wentzell theory. In particular, I will show conditions under which there exists a unique SRB measure with exponential decay of correlations.
 
(Work in collaboration with Jacopo de Simoi).