Density of mild mixing property for vertical flows of Abelian differentials

Frączek, Krzysztof

doi:10.1090/S0002-9939-09-10025-4

Density of mild mixing property for vertical flows of Abelian differentials
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Proc. Amer. Math. Soc. 137 (2009), 4129-4142 Request permission

Abstract:

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 due to Frączek, Lemańczyk, and Lesigne guaranteeing mild mixing property of certain special flows over irrational rotations.

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