The mean width of random polytopes circumscribed around a convex body

DOI10.1112/jlms/jdp077zbMath1191.52003arXiv0901.3419OpenAlexW3105247763MaRDI QIDQ3550264

Daniel Hug, Károly jun. Böröczky, Ferenc Fodor

Publication date: 31 March 2010

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3419

zbMATH Keywords

mean widthasymptotic formulaerandom inscribed polytoperandom circumscribed polytoperandomly chosen hyperplane

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Approximation by convex sets (52A27) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (10)

Random inscribed polytopes in projective geometries ⋮ THE VOLUME OF RANDOM POLYTOPES CIRCUMSCRIBED AROUND A CONVEX BODY ⋮ Weighted floating bodies and polytopal approximation ⋮ POISSON HYPERPLANE PROCESSES AND APPROXIMATION OF CONVEX BODIES ⋮ Variance estimates for random disc-polygons in smooth convex discs ⋮ Variance asymptotics for random polytopes in smooth convex bodies ⋮ Asymptotic normality for random polytopes in non-Euclidean geometries ⋮ Intrinsic volumes of random polytopes with vertices on the boundary of a convex body ⋮ Halfspace depth and floating body ⋮ Interaction of Poisson hyperplane processes and convex bodies

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