The Poisson-Voronoi tessellation: relationships for edges

DOI10.1239/aap/1118858626zbMath1079.60020OpenAlexW2036775324MaRDI QIDQ5694145

Lutz Muche

Publication date: 29 September 2005

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1118858626

zbMATH Keywords

distancemomentprobability density functionedge lengthneighbouradjacent angle

Mathematics Subject Classification ID

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

Related Items

Cluster size distributions of extreme values for the Poisson-Voronoi tessellation ⋮ Extreme values for characteristic radii of a Poisson-Voronoi tessellation ⋮ Gamma distributions for stationary Poisson flat processes ⋮ Contact and Chord Length Distribution Functions of the Poisson-Voronoi Tessellation in High Dimensions ⋮ The second volume moment of the typical cell and higher moments of edge lengths of the spatial Poisson-Voronoi tessellation ⋮ Topological relationships in spatial tessellations ⋮ Some distributional results for Poisson-Voronoi tessellations ⋮ Continuum line-of-sight percolation on Poisson–Voronoi tessellations ⋮ Wigner surmises and the two-dimensional Poisson-Voronoi tessellation

Cites Work

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• On the homogeneous planar Poisson point process
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• A Formula for the Edge Length Distribution Function of the Poisson Voronoi Tessellation
• Random tessellations in ℝ^d
• The Poisson Voronoi Tessellation I. A Basic Identity
• The Poisson Voronoi Tessellation II. Edge Length Distribution Functions