Translator Disclaimer
January 2006 A parity problem on the free path length of a billiard in the unit square with pockets
Emre Alkan, Andrew H. Ledoan, Alexandru Zaharescu
Funct. Approx. Comment. Math. 35: 19-36 (January 2006). DOI: 10.7169/facm/1229442614

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 $\varepsilon$ removed at the corners, in which the trajectory ends in a specified corner pocket.

Citation

Download Citation

Emre Alkan. Andrew H. Ledoan. Alexandru Zaharescu. "A parity problem on the free path length of a billiard in the unit square with pockets." Funct. Approx. Comment. Math. 35 19 - 36, January 2006. https://doi.org/10.7169/facm/1229442614

Information

Published: January 2006
First available in Project Euclid: 16 December 2008

zbMATH: 1128.11042
MathSciNet: MR2271604
Digital Object Identifier: 10.7169/facm/1229442614

Subjects:
Primary: 37D50
Secondary: 11B57, 11P21, 82C40

Rights: Copyright © 2006 Adam Mickiewicz University

JOURNAL ARTICLE
18 PAGES


SHARE
Vol.35 • January 2006
Back to Top