On the correlation between the volumes of the typical Poisson-Voronoi cell and the typical Stienen sphere

DOI10.1239/aap/1198177230zbMath1133.60304OpenAlexW2050248146MaRDI QIDQ5443142

Viktor Olsbo

Publication date: 20 February 2008

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1198177230

zbMATH Keywords

correlationPoisson processVoronoi tessellationtypical cellStienen modelRobbins' formula

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (1)

Distance from the nucleus to a uniformly random point in the 0-cell and the typical cell of the Poisson-Voronoi tessellation

Cites Work

• Unnamed Item
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• Lectures on random Voronoi tessellations
• Precise formulae for the distributions of the principal geometric characteristics of the typical cells of a two-dimensional Poisson-Voronoi tessellation and a Poisson line process
• Large Poisson-Voronoi cells and Crofton cells
• The distributions of the smallest disks containing the Poisson-Voronoi typical cell and the Crofton cell in the plane
• Random Subdivisions of Space into Crystals
• On the Measure of a Random Set
• On the Measure of a Random Set. II

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