A UNIFORM DISTRIBUTION RESULT FOR A BILLIARD IN A UNIT SQUARE
Glasgow mathematical journal, Tome 47 (2005) no. 3, pp. 529-547
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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.
ALKAN, E.; SELVAKUMARAN, T. V.; ZAHARESCU, A. A UNIFORM DISTRIBUTION RESULT FOR A BILLIARD IN A UNIT SQUARE. Glasgow mathematical journal, Tome 47 (2005) no. 3, pp. 529-547. doi: 10.1017/S0017089505002764
@article{10_1017_S0017089505002764,
author = {ALKAN, E. and SELVAKUMARAN, T. V. and ZAHARESCU, A.},
title = {A {UNIFORM} {DISTRIBUTION} {RESULT} {FOR} {A} {BILLIARD} {IN} {A} {UNIT} {SQUARE}},
journal = {Glasgow mathematical journal},
pages = {529--547},
year = {2005},
volume = {47},
number = {3},
doi = {10.1017/S0017089505002764},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002764/}
}
TY - JOUR AU - ALKAN, E. AU - SELVAKUMARAN, T. V. AU - ZAHARESCU, A. TI - A UNIFORM DISTRIBUTION RESULT FOR A BILLIARD IN A UNIT SQUARE JO - Glasgow mathematical journal PY - 2005 SP - 529 EP - 547 VL - 47 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002764/ DO - 10.1017/S0017089505002764 ID - 10_1017_S0017089505002764 ER -
%0 Journal Article %A ALKAN, E. %A SELVAKUMARAN, T. V. %A ZAHARESCU, A. %T A UNIFORM DISTRIBUTION RESULT FOR A BILLIARD IN A UNIT SQUARE %J Glasgow mathematical journal %D 2005 %P 529-547 %V 47 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002764/ %R 10.1017/S0017089505002764 %F 10_1017_S0017089505002764
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