Contact and Chord Length Distribution Functions of the Poisson-Voronoi Tessellation in High Dimensions

DOI10.1239/aap/1269611143zbMath1206.60015OpenAlexW1980244411MaRDI QIDQ3566392

Lutz Muche

Publication date: 7 June 2010

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

Full work available at URL: https://doi.org/10.1239/aap/1269611143

zbMATH Keywords

momentsprobability density functionschord length distributionslinear and spherical contact distribution functions

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (2)

On the Volume of the Zero Cell of a Class of Isotropic Poisson Hyperplane Tessellations ⋮ The second volume moment of the typical cell and higher moments of edge lengths of the spatial Poisson-Voronoi tessellation

Cites Work

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• Volume degeneracy of the typical cell and the chord length distribution for Poisson-Voronoi tessellations in high dimensions
• Contact and chord length distributions of the Poisson Voronoi tessellation
• Contact and chord length distribution of a stationary Voronoi tessellation
• An incomplete Voronoi tessellation
• On the distribution of the spherical contact vector of stationary germ-grain models
• A Formula for the Edge Length Distribution Function of the Poisson Voronoi Tessellation
• Random Subdivisions of Space into Crystals
• The Poisson-Voronoi tessellation: relationships for edges
• On the second derivative of the spherical contact distribution function of smooth grain models

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