The convex hull of random points in a tetrahedron: Solution of Blaschke's problem and more general results
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Publication:2729299
DOI10.1515/crll.2001.050zbMath0973.52004OpenAlexW1985633322MaRDI QIDQ2729299
Matthias Reitzner, Christian Buchta
Publication date: 18 July 2001
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/crll.2001.050
Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Related Items (12)
Recurrence relationships for the mean number of faces and vertices for random convex hulls ⋮ Moments of volumes of lower-dimensional random simplices are not monotone ⋮ Unnamed Item ⋮ An algorithm to estimate the vertices of a tetrahedron from uniform random points inside ⋮ Random approximation of convex bodies: monotonicity of the volumes of random tetrahedra ⋮ Random polytopes and the Efron-Stein jackknife inequality. ⋮ Angles of random simplices and face numbers of random polytopes ⋮ Exact Formulae for Variances of Functionals of Convex Hulls ⋮ The surface area deviation of the Euclidean ball and a polytope ⋮ Approximation of smooth convex bodies by random polytopes ⋮ Beyond the Efron-Buchta identities: distributional results for Poisson polytopes ⋮ Sylvester's problem for symmetric convex bodies and related problems
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