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Distortion of certain Voronoi tesselations when one particle moves

Published online by Cambridge University Press:  14 July 2016

Luis-M. Cruz Orive
Luis-M. Cruz Orive*
Affiliation:
University of Bern
*
∗Postal address: Department of Anatomy, University of Bern, Bühlstrasse 26, CH-3000 Bern 9, Switzerland.
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Abstract

Some properties of the Voronoi polygon associated with a moving particle in a regular tessellation are studied. In particular, the area of the variable polygon has played a relevant role in previous studies on plant competition, animal predation, adjustment of the sex ratio in bisexual populations and the gregarious behaviour of animal species.

Keywords

GEOMETRICAL PROBABILITYVORONOI POLYGONSREGULAR TESSELLATIONSMOVING PARTICLESIDE NUMBERAREA
Type
Research Papers
Information
Journal of Applied Probability , Volume 16 , Issue 1 , March 1979 , pp. 95 - 103
Copyright
Copyright © Applied Probability Trust 1979 

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References

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