Density of mild mixing property for vertical flows of Abelian differentials

Details Density of mild mixing property for vertical flows of Abelian differentials Density of mild mixing property for vertical flows of Abelian differentials

2009-03-19

arxiv.org/abs/0903.3331v1

Mathematics

Dynamical Systems

14 pages

Scientific paper

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.

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