A UNIFORM DISTRIBUTION RESULT FOR A BILLIARD IN A UNIT SQUARE

A UNIFORM DISTRIBUTION RESULT FOR A BILLIARD IN A UNIT SQUARE

In this paper we establish a uniform distribution result for the time spent by a billiard particle in the unit square having vertices (0,0), (1,0), (1,1), (0,1), with small triangular pockets of size $\epsilon$ removed from its corners.

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Veröffentlicht in:Glasgow mathematical journal 2005-09, Vol.47 (3), p.529-547
Hauptverfasser: ALKAN, E., SELVAKUMARAN, T. V., ZAHARESCU, A.
Format: Artikel
Sprache:eng
Schlagworte:
11B57
11K36
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Zusammenfassung:In this paper we establish a uniform distribution result for the time spent by a billiard particle in the unit square having vertices (0,0), (1,0), (1,1), (0,1), with small triangular pockets of size $\epsilon$ removed from its corners.
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089505002764