The proportion of triangles in a Poisson-Voronoi tessellation of the plane
Andrew Hayen and Malcolm Quine
Source: Adv. in Appl. Probab. Volume 32, Number 1 (2000), 67-74.
Abstract
By using an adaptation of the radial generation method, we give an integral formula for the proportion of triangles in a Poisson-Voronoi tessellation, which gives a value of 0.0112354 to 7 decimal places. We also obtain the first four moments of some characteristics of triangles.
Primary Subjects: 60D05
Secondary Subjects: 60G55
Keywords: Poisson; Voronoi; tessellation; Palm probability; triangle; moments
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aap/1013540022
Digital Object Identifier: doi:10.1239/aap/1013540022
Mathematical Reviews number (MathSciNet):
MR1765171
Zentralblatt MATH identifier:
0970.60012
Advances in Applied Probability
