Vertex numbers of weighted faces in Poisson hyperplane mosaics

DOI10.1007/S00454-010-9260-5zbMath1213.52016OpenAlexW2092085501MaRDI QIDQ603860

Rolf Schneider

Publication date: 8 November 2010

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-010-9260-5

zbMATH Keywords

expected vertex numberPoisson hyperplane mosaicRandom tessellationvolume product inequalityweighted typical face

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (4)

The combinatorial structure of spatial STIT tessellations ⋮ Second moments related to Poisson hyperplane tessellations ⋮ Introduction to Stochastic Geometry ⋮ Poisson polyhedra in high dimensions

Cites Work

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• Stochastic and Integral Geometry
• Weighted faces of Poisson hyperplane tessellations
• Poisson flats in Euclidean spaces Part II: Homogeneous Poisson flats and the complementary theorem
• Hyperplans poissoniens et compacts de Steiner
• Mean Values of Weighted Cells of Stationary Poisson Hyperplane Tessellations of IRd
• Ensembles fermés aléatoires, ensembles semi-markoviens et polyèdres poissoniens

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