The second volume moment of the typical cell and higher moments of edge lengths of the spatial Poisson-Voronoi tessellation

DOI10.1007/s00605-010-0202-3zbMath1226.60017OpenAlexW2092507406MaRDI QIDQ538401

Lutz Muche, Felix Ballani

Publication date: 25 May 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-010-0202-3

zbMATH Keywords

edge lengthPoisson-Voronoi tessellationlinear contact distancetypical cellzero cell

Mathematics Subject Classification ID

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

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Cites Work

• Lectures on random Voronoi tessellations
• Areas of components of a Voronoi polygon in a homogeneous Poisson process in the plane
• Contact and Chord Length Distribution Functions of the Poisson-Voronoi Tessellation in High Dimensions
• Random tessellations in ℝ^d
• The sectional Poisson Voronoi tessellation is not a Voronoi tessellation
• Random Subdivisions of Space into Crystals
• The Poisson-Voronoi tessellation: relationships for edges
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