Some distributional results for Poisson-Voronoi tessellations

DOI10.1239/aap/1175266467zbMath1119.60004OpenAlexW1996517572MaRDI QIDQ3435388

Volker Baumstark, Günter Last

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1239/aap/1175266467

zbMATH Keywords

Palm distributionPoisson processrandom measuretypical facetypical edge

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (16)

Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors ⋮ Cluster size distributions of extreme values for the Poisson-Voronoi tessellation ⋮ The -Delaunay tessellation: Description of the model and geometry of typical cells ⋮ Introduction to Stochastic Geometry ⋮ Faces of Poisson-Voronoi mosaics ⋮ Random Laguerre tessellations ⋮ Extreme values for characteristic radii of a Poisson-Voronoi tessellation ⋮ Gamma distributions for stationary Poisson flat processes ⋮ Faces with given directions in anisotropic Poisson hyperplane mosaics ⋮ Large faces in Poisson hyperplane mosaics ⋮ Ratio limits and simulation algorithms for the Palm version of stationary iterated tessellations ⋮ Simulation of the typical Poisson–Voronoi–Cox–Voronoi cell ⋮ Weighted faces of Poisson hyperplane tessellations ⋮ Percolation on stationary tessellations: models, mean values, and second-order structure ⋮ Fractal random series generated by Poisson-Voronoi tessellations ⋮ Wigner surmises and the two-dimensional Poisson-Voronoi tessellation

Cites Work

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• Lectures on random Voronoi tessellations
• Applied Probability and Queues
• Random tessellations in ℝ^d
• The Poisson Voronoi Tessellation I. A Basic Identity
• [https://portal.mardi4nfdi.de/wiki/Publication:5549427 Station�re zuf�llige Ma�e auf lokalkompakten Abelschen Gruppen]
• The Poisson-Voronoi tessellation: relationships for edges

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