scientific article; zbMATH DE number 5039525

DOI10.1112/S0025579300015473zbMath1109.52007MaRDI QIDQ5479473

Matthias Reitzner

Publication date: 10 July 2006

Published in: Mathematika (Search for Journal in Brave)

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

random polytope

Mathematics Subject Classification ID

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

Related Items (18)

THE VOLUME OF RANDOM POLYTOPES CIRCUMSCRIBED AROUND A CONVEX BODY ⋮ Random points in halfspheres ⋮ Uniform behaviors of random polytopes under the Hausdorff metric ⋮ Introduction to Stochastic Geometry ⋮ Asymptotics of the convex hull of spherically symmetric samples ⋮ The convex hull of random points on the boundary of a simple polytope ⋮ Concentration and moderate deviations for Poisson polytopes and polyhedra ⋮ Variance asymptotics for random polytopes in smooth convex bodies ⋮ Approximation of smooth convex bodies by random circumscribed polytopes ⋮ Methods for estimation of convex sets ⋮ Asymptotic normality for random polytopes in non-Euclidean geometries ⋮ The surface area deviation of the Euclidean ball and a polytope ⋮ Approximation of smooth convex bodies by random polytopes ⋮ Random points on the boundary of smooth convex bodies ⋮ Intrinsic volumes of inscribed random polytopes in smooth convex bodies ⋮ Limit theorems for random polytopes with vertices on convex surfaces ⋮ Mean width of random polytopes in a reasonably smooth convex body ⋮ Expectation of intrinsic volumes of random polytopes

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