Random polytopes in a convex body

DOI10.1007/BF00534188zbMath0407.60009MaRDI QIDQ4194188

Rolf Schneider, John André Wieacker

Publication date: 1980

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

Asymptotic ExpressionRandom Polytopes

Mathematics Subject Classification ID

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

Related Items (23)

Best and random approximation of a convex body by a polytope ⋮ Mixed affine surface area ⋮ THE VOLUME OF RANDOM POLYTOPES CIRCUMSCRIBED AROUND A CONVEX BODY ⋮ Unnamed Item ⋮ Approximation of convex bodies by random polytopes ⋮ On the mean width of random polytopes ⋮ Peeling Potatoes Near-Optimally in Near-Linear Time ⋮ Random polytopes in smooth convex bodies ⋮ Uniform behaviors of random polytopes under the Hausdorff metric ⋮ Introduction to Stochastic Geometry ⋮ The convex hull of random points on the boundary of a simple polytope ⋮ Random points and lattice points in convex bodies ⋮ Intrinsic volumes and f-vectors of random polytopes ⋮ The expected value of some functions of the convex hull of a random set of points sampled in \(\mathbb{R}{}^ d\) ⋮ Convex bodies, economic cap coverings, random polytopes ⋮ Stochastische Approximation konvexer Polygone ⋮ The expected mean width of a random polytope associated with a ball ⋮ The mean breadth of a random polytope in a convex body ⋮ Expectation of random polytopes ⋮ Approximation of a ball by random polytopes ⋮ Random convex hulls in a product of balls ⋮ Mean width of random polytopes in a reasonably smooth convex body ⋮ Stochastical approximation of convex bodies

Cites Work

• A fourth note on recent research in geometrical probability
• [https://portal.mardi4nfdi.de/wiki/Publication:5331598 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten. II]
• The convex hull of a random set of points
• [https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]
• Unnamed Item

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