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.
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Segreteria
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Giulia Curciarello
tel- 050
2213219
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