SEMINARIO DI SISTEMI DINAMICI OLOMORFI (e dintorni)

      Martedi' 20 giugno 2006 
                 0re 14.30

              Sala Conferenze
             Collegio Puteano

Corinna ULCIGRAI (Princeton)

"Mixing for flows over interval exchange transformations"

Abstract: We consider suspension flows over interval
exchange transformations,
under a roof function with logarithmic singularities. Such
flows arise as minimal
components of flows on surfaces given by multi-valued
Hamiltonians. We prove
that if the roof function has an asymmetric logarithmic
singularity, the suspension
flow is strongly mixing for a full measure set of interval
exchanges. This generalizes
a result by Khanin and Sinai for flows over rotations of
the circle. In the proof we use a recent result by
Avila-Gouzel-Yoccoz.

*************************
Segreteria Didattica
Giulia Curciarello
tel- 050 2213219
*************************