Mixing for flows over interval exchange maps

We consider a class of area-preserving flows on surfaces, given by
multi-valued Hamiltonians, which was first introduced by the russian school
of Novikov. We will first explain how such flows can be described through
suspension flows over interval exchange maps. We prove that such flows,
under a condition of asymmetry (which correspond to the presence of
centers), are generically mixing, i.e. asymptotically uniformly distributed
in space. The main ingredients in the proof are renormalization techniques
for interval exchange maps, the asymptotic growth of Birkhoff sums of a non
integrable function and a recent result by Avila, Gouezel and Yoccoz.