Intrinsic volumes of random polytopes with vertices on the boundary of a convex body

DOI10.1090/S0002-9947-2012-05648-0zbMath1271.52004arXiv1103.4978OpenAlexW3101840753MaRDI QIDQ4915112

Daniel Hug, Ferenc Fodor, Károly jun. Böröczky

Publication date: 16 April 2013

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

Full work available at URL: https://arxiv.org/abs/1103.4978

zbMATH Keywords

random polytopeintrinsic volume

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 (8)

Random inscribed polytopes in projective geometries ⋮ Central limit theorem for the volume of random polytopes with vertices on the boundary ⋮ EXPECTED MEAN WIDTH OF THE RANDOMIZED INTEGER CONVEX HULL ⋮ An intrinsic volume metric for the class of convex bodies in ℝn ⋮ Random Point Sets on the Sphere—Hole Radii, Covering, and Separation ⋮ On the isotropic constant of random polytopes with vertices on an \(\ell_p\)-sphere ⋮ General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II ⋮ Limit theorems for random polytopes with vertices on convex surfaces

Cites Work

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