Weighted Poisson--Delaunay Mosaics

DOI10.1137/S0040585X97T989726zbMath1432.60023arXiv1705.08735OpenAlexW2982010117MaRDI QIDQ5216293

Anton V. Nikitenko, Herbert Edelsbrunner

Publication date: 17 February 2020

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08735

zbMATH Keywords

intervalsstochastic geometryPoisson point processBoolean modeldiscrete Morse theoryVoronoi tessellationsBlaschke-Petkantschin formulacritical simplicesclumpsLaguerre distanceSlivnyak-Mecke formulaweighted Delaunay mosaics

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Uses Software

• DLMF

Cites Work

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• Power Diagrams: Properties, Algorithms and Applications
• Random tessellations in ℝ^d
• Expected sizes of Poisson–Delaunay mosaics and their discrete Morse functions
• Isotropic random simplices

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