Abstract
We show that a residual set of non-degenerate IETs on more than 3 letters is topologically mixing. This shows that there exists a uniquely ergodic topologically mixing IET. This is then applied to show that some billiard flows in a fixed direction in an L-shaped polygon are topologically mixing.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 483-503 |
| Number of pages | 21 |
| Journal | Communications In Mathematical Physics |
| Volume | 333 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2014 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
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