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arXiv · 0903.3331

Density of mild mixing property for vertical flows of Abelian differentials

Krzysztof Fraczek
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Abstract

We prove that if $g\geq 2$ then the set of all Abelian differentials $(M,ω)$ 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.

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Krzysztof Fraczek. 2009-03-19. Density of mild mixing property for vertical flows of Abelian differentials. https://arxiv.org/abs/0903.3331

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