Abstract
We present a result on short intervals about the moments of the free path length of the linear trajectory of a billiard in the unit square with small triangular pockets of size " removed at the corners, in which the trajectory ends in a specifled corner pocket.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 19-36 |
| Number of pages | 18 |
| Journal | Functiones et Approximatio, Commentarii Mathematici |
| Volume | 35 |
| DOIs | |
| State | Published - 2006 |
Keywords
- Billiards
- Farey fractions
- Free path length
- Kloosterman sums
- Periodic Lorentz gas
- Visible points
ASJC Scopus subject areas
- General Mathematics