SEMINARIO DI SISTEMI DINAMICI OLOMORFI (e dintorni) Martedi' 20 giugno 2006 Sala Conferenze Collegio Puteano

Corinna ULCIGRAI (Princeton) ulcigrai@math.princeton.edu

"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.

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