Minimal sets for flows on moduli space

John Smillie*, Barak Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Let S be a compact orientable surface, let Q be the moduli space of quadratic differentials on S and let M be a stratum in Q. We explicitly describe the minimal sets for the (Teichmüller) horocycle flow on M and on Q, and show that these correspond to horizontal cylindrical decompositions of S.

Original languageEnglish
Pages (from-to)249-260
Number of pages12
JournalIsrael Journal of Mathematics
StatePublished - 2004
Externally publishedYes


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