BooksStandalone TitlesCollected Volumepp. 3412–3430

The horocycle flow on the moduli space of translation surfaces

  • Jon Chaika

    University of Utah, Department of Mathematics, 203, 155 S 1400 E RM 233, Salt Lake City, UT, 84112-0090, USA

  • Barak Weiss

    Tel Aviv University, Department of Mathematics, Tel-Aviv, 69978 Israel
The horocycle flow on the moduli space of translation surfaces cover
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Abstract

We survey some results on the dynamics of the horocycle flow on the moduli space of translation surfaces. We outline proofs of some recent results, obtained by the authors in collaboration with John Smillie, and pose some open questions.