Extremal properties of some geometric processes

DOI10.1007/BF00580821zbMath0633.60017OpenAlexW4231182167MaRDI QIDQ1096235

B. George

Publication date: 1987

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00580821

zbMATH Keywords

extremal property of tesselationsisoperimetric inequalities for stationary random tesselationsrandom Poisson polygonstationary regular hexagon tesselation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

The Brunn-Minkowski inequality for random sets

Cites Work

• Isoperimetric Properties of Stationary Random Mosaics
• Extremum properties of the intersection densities of stationary poisson hyperplane processes
• On Some Inequalities for Poisson Networks
• Maximizing the intersection density of fibre processes
• Random hyperplanes meeting a convex body
• The Use of the Ergodic Theorems in Random Geometry
• On an extreme value problem for flat processes
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