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 ************************* _______________________________________________ Settimanale mailing list Settimanale@mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale