Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-04T18:51:11.514Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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