The convex hull of random points on the boundary of a simple polytope

DOI10.1007/s00454-022-00460-2OpenAlexW4318624645MaRDI QIDQ2690126

Elisabeth M. Werner, Matthias Reitzner, Carsten Schuett

Publication date: 15 March 2023

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

Full work available at URL: https://arxiv.org/abs/1911.05917

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic analysis for Poisson point processes. Malliavin calculus, Wiener-Itô chaos expansions and stochastic geometry
• The combinatorial structure of random polytopes
• Expectation of intrinsic volumes of random polytopes
• The convex floating body and polyhedral approximation
• Random polytopes in a convex polytope, independence of shape, and concentration of vertices
• On the mean value of the volume of a random polytope in a convex set
• On the convex hull of uniform random points in a simple \(d\)-polytope
• On some mean values associated with a randomly selected simplex in a convex set
• Lower bound for the maximal number of facets of a 0/1 polytope
• The geometry of random \(\{-1,1\}\)-polytopes
• Random points on the boundary of smooth convex bodies
• Stochastic and Integral Geometry
• Convex bodies, economic cap coverings, random polytopes
• Volumes Spanned by Random Points in the Hypercube
• Random polytopes in smooth convex bodies
• On the mean value of the area of a random polygon in a plane convex body
• Random polytopes in a convex body
• Random Polytopes and Affine Surface Area
• A Kinematic Formula and Moment Measures of Random Sets
• Random Polytopes
• [https://portal.mardi4nfdi.de/wiki/Publication:5331598 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten. II]
• On the Maximal Number of Facets of 0/1 Polytopes
• 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]
• On 0-1 polytopes with many facets
• Doubly random polytopes

This page was built for publication: The convex hull of random points on the boundary of a simple polytope