Abstract
We prove a polynomial upper bound on the deviation of ergodic averages for almost all directional flows on every translation surface, in particular, for the generic directional flow of billiards in any Euclidean polygon with rational angles.
Original language | English (US) |
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Pages (from-to) | 285-319 |
Number of pages | 35 |
Journal | Duke Mathematical Journal |
Volume | 144 |
Issue number | 2 |
DOIs | |
State | Published - Aug 15 2008 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics