Density of mild mixing property for vertical flows of Abelian differentials

Krzysztof Fraczek

Density of mild mixing property for vertical flows of Abelian differentials

Dynamical Systems 2009-03-20 v1

Authors: Krzysztof Fraczek

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 for special flows over irrational rotations and under piecewise constant roof functions to be mildly mixing.

Keywords

abelian differentials vertical flow mild mixing moduli space special flows over irrational rotations piecewise constant roof functions

Cite

@article{arxiv.0903.3331,
  title  = {Density of mild mixing property for vertical flows of Abelian differentials},
  author = {Krzysztof Fraczek},
  journal= {arXiv preprint arXiv:0903.3331},
  year   = {2009}
}

Comments

14 pages

Related papers

View all related →