AVVISO DI SEMINARIO
Sistemi Dinamici
Martedì 13 dicembre 2005 ore 14.30
Centro di Ricerca Matematica Ennio De Giorgi
(Sala Conferenze Collegio Puteano)
Jean-Christophe Yoccoz
College de France
Terrà un seminario dal titolo:
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 Hölder observables. This extends a well-known result of Ratner for the geodesic flow on the modular surface.
Tutti gli interessati sono invitati a partecipare.
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