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On the average size of polytopes in a convex set

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Publication:1050622
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DOI10.1007/BF00149425zbMath0513.52006OpenAlexW2056944302MaRDI QIDQ1050622

Helmut Groemer

Publication date: 1982

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00149425

zbMATH Keywords

polytopeconvex bodysimplexexpected valuesrandom simplexchord power integrals


Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Polytopes and polyhedra (52Bxx)


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On a conjecture of R. E. Miles about the convex hull of random points, Inequalities for moments of secant length, Maximum and minimum sets for some geometric mean values, Approximation of a ball by random polytopes



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