Typical cells in Poisson hyperplane tessellations

DOI10.1007/s00454-007-1340-9zbMath1140.60009OpenAlexW2098480271MaRDI QIDQ2464363

Rolf Schneider, Daniel Hug

Publication date: 19 December 2007

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

Full work available at URL: https://doi.org/10.1007/s00454-007-1340-9

zbMATH Keywords

Poisson processintrinsic volumetypical cellzero cell

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) (n)-dimensional polytopes (52B11) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (10)

Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors ⋮ Weak convergence of the intersection point process of Poisson hyperplanes ⋮ The combinatorial structure of spatial STIT tessellations ⋮ Cells with many facets in a Poisson hyperplane tessellation ⋮ Introduction to Stochastic Geometry ⋮ Extremal behavior of large cells in the Poisson hyperplane mosaic ⋮ The proportion of triangles in a class of anisotropic Poisson line tessellations ⋮ Faces with given directions in anisotropic Poisson hyperplane mosaics ⋮ Large faces in Poisson hyperplane mosaics ⋮ Three-dimensional random Voronoi tessellations: from cubic crystal lattices to Poisson point processes

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