A parity problem on the free path length of a billiard in the unit square with pockets

Emre Alkan, Andrew Ledoan, Alexandru Zaharescu

Type: Article

Publication Date: 2006-01-01

Citations: 2

DOI: https://doi.org/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.

Locations

Functiones et Approximatio Commentarii Mathematici - View - PDF

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+ PDF Chat	The distribution of Farey points, I	1971	M. N. Huxley
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+	An Asymptotic Formula in the Theory of Numbers	1957	C. Hooley
+	On the Distribution of Free Path Lengths¶for the Periodic Lorentz Gas	1998	Jean Bourgain François Golse Bernt Wennberg
+	On Kloosterman's sum	1961	T. Estermann
+ PDF Chat	On a problem of Dinaburg and Sinai	1992	Akio Fujii