Density of mild mixing property for vertical flows of Abelian differentials

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223873We 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.14 pagesDynamical Systems37A10, 37E35, 30F30Density of mild mixing property for vertical flows of Abelian differentialstext