Large faces in Poisson hyperplane mosaics

DOI10.1214/09-AOP510zbMath1202.60021arXiv1010.2333OpenAlexW3104883172MaRDI QIDQ984452

Daniel Hug, Rolf Schneider

Publication date: 19 July 2010

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2333

zbMATH Keywords

Poisson hyperplane tessellationD.G. Kendall's problemvolume-weighted typical face

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

On the Volume of the Zero Cell of a Class of Isotropic Poisson Hyperplane Tessellations ⋮ Cells with many facets in a Poisson hyperplane tessellation ⋮ Introduction to Stochastic Geometry ⋮ Faces of Poisson-Voronoi mosaics ⋮ Faces with given directions in anisotropic Poisson hyperplane mosaics ⋮ Intersection and proximity of processes of flats

Cites Work

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• Asymptotic shapes of large cells in random tessellations
• Proof of David Kendall's conjecture concerning the shape of large random polygons
• History and generality of the CS decomposition
• A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons
• The limit shape of the zero cell in a stationary Poisson hyperplane tessellation.
• Large cells in Poisson-Delaunay tessellations
• Typical cells in Poisson hyperplane tessellations
• Spherical projections and liftings in geometric tomography
• Some distributional results for Poisson-Voronoi tessellations
• Stochastic and Integral Geometry
• Weighted faces of Poisson hyperplane tessellations
• Large Poisson-Voronoi cells and Crofton cells
• The Rotation of Eigenvectors by a Perturbation. III

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