presso la sala conferenze del Centro di Ricerca Matematica Ennio de Giorgi, Collegio Puteano,
si terra' un seminario di sistemi dinamici:

Prof. Jean-Christophe YOCCOZ (College de France)

"The Teichmuller flow is exponentially mixing"

ABSTRACT:
We will report on a jointwork with A. Avila and S. Gouezel. The
Teichmuller
flow is a canonical flow on the space of moduli for translation surfaces,
which preserves a natural absolutely continuous invariant measure. Veech
had
shown earlier that the flow is mixing. We prove exponential decay of
correlations for Hlder observables. This extends a well-known result of
Ratner for the geodesic flow on the modular surface.