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Lattice points in a random parallelogram

Published online by Cambridge University Press:  01 July 2016

Philip Holgate
Philip Holgate*
Affiliation:
Birkbeck College, London
*
∗Postal address: Department of Mathematics and Statistics, Birkbeck College, Malet St, London WC1E 7HX, UK.
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Abstract

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A Fourier series is obtained for the variance of the number of points lying in a parallelogram thrown randomly on to a square lattice at a fixed angle.

Keywords

GEOMETRICAL PROBABILITY
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 22 , Issue 2 , June 1990 , pp. 484 - 485
Copyright
Copyright © Applied Probability Trust 1990 

References

Kendall, M. G. and Moran, P. A. P. (1963) Geometrical Probability. Griffin, London.Google Scholar
Rosen, D. (1989) Coverage of a square lattice by an inclined rectangle. Adv. Appl. Prob. 21, 705–707.Google Scholar