Krzysztof Fraczek
Published 2009-03-19Version 1
We prove that if $g\geq 2$ then the set of all Abelian differentials $(M,\omega)$ for which the vertical flow is mildly mixing is dense in every stratum of the moduli space $\mathcal{H}_g$. The proof is based on a sufficient condition for special flows over irrational rotations and under piecewise constant roof functions to be mildly mixing.
On typicality of translation flows which are disjoint with their inverse
Superdensity and bounded geodesics in moduli space
Mild mixing property for special flows under piecewise constant functions
![QR code for arXiv:0903.3331 [math.DS]](http://oss.arxitics.com/images/favicon.svg)