Recurrence relationships for the mean number of faces and vertices for random convex hulls

DOI10.1007/s00454-008-9122-6zbMath1194.60013OpenAlexW2040913719MaRDI QIDQ848666

Richard Cowan

Publication date: 4 March 2010

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

Full work available at URL: https://doi.org/10.1007/s00454-008-9122-6

zbMATH Keywords

convex hullrandom geometrySylvester's problemfaces of polytopes

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

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Inclusion-exclusion principles for convex hulls and the Euler relation ⋮ The duality of the volumes and the numbers of vertices of random polytopes ⋮ AN INCLUSION–EXCLUSION IDENTITY FOR NORMAL CONES OF POLYHEDRAL SETS

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