Density of mild mixing property for vertical flows of Abelian differentials
Abstract
We prove that if g≥ 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 Hg. 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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