An explicit expression for the distribution of the number of sides of the typical Poisson-Voronoi cell-Reference-Cited by-同舟云学术

An explicit expression for the distribution of the number of sides of the typical Poisson-Voronoi cell

Published:2003-12 Issue:4 Volume:35 Page:863-870
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Calka Pierre

Abstract

In this paper, we give an explicit expression for the distribution of the number of sides (or equivalently vertices) of the typical cell of a two-dimensional Poisson-Voronoi tessellation. We use this formula to give a table of numerical values of the distribution function.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference19 articles.

1. Thermal Conductivity of Polycrystalline Materials

2. Estimates for distributions of the Voronoi polygon's geometric characteristics

3. Properties of a two-dimensional Poisson-Voronoi tesselation: A Monte-Carlo study

4. Random Subdivisions of Space into Crystals

5. Monte carlo estimates of the distributions of the random polygons of the voronoi tessellation with respect to a poisson process

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