Few points to generate a random polytope

DOI10.1112/S0025579300012638zbMath0902.52002MaRDI QIDQ4384734

Leoni Dalla, Imre Bárány

Publication date: 10 December 1998

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

random polytoperandom convex bodies

Mathematics Subject Classification ID

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

Related Items

Central limit theorems for Gaussian polytopes, Central limit theorems for random polytopes in a smooth convex set, Extension complexity of low-dimensional polytopes, Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon, Random points and lattice points in convex bodies, Random polytopes and the wet part for arbitrary probability distributions, On the variance of random polytopes, Random polytopes: Central limit theorems for intrinsic volumes, Poisson polytopes, Intrinsic volumes of inscribed random polytopes in smooth convex bodies, Multivariate normal approximation for functionals of random polytopes, Approximation of convex sets by polytopes

Cites Work

• Intrinsic volumes and f-vectors of random polytopes
• Über zwei Sätze von Herrn Besicovitch
• Random approximation of convex sets*