On point processes defined by angular conditions on Delaunay neighbors in the Poisson–Voronoi Tessellation

DOI10.1017/jpr.2021.26zbMath1478.60039arXiv2010.16116OpenAlexW3217691836MaRDI QIDQ5014303

François Baccelli, Sanket S. Kalamkar

Publication date: 1 December 2021

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.16116

zbMATH Keywords

stochastic geometrypoint processrandom polytopeintegral geometryDelaunay graphmass transport principlepalm calculus

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80) Integral geometry (53C65) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

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• Processes on unimodular random networks
• Contact and chord length distributions of the Poisson Voronoi tessellation
• Random tessellations in ℝ^d
• Stochastic Geometry and Wireless Networks: Volume I Theory

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