On mean outer radii of random polytopes

DOI10.1512/iumj.2014.63.5231zbMath1314.52005arXiv1211.2336OpenAlexW2963183673MaRDI QIDQ5174997

David Alonso-Gutiérrez, Joscha Prochno, María A. Hernández Cifre, N. Dafnis

Publication date: 19 February 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2336

zbMATH Keywords

random polytopeisotropic constantmean outer radius

Mathematics Subject Classification ID

Probabilistic methods in Banach space theory (46B09) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40) Asymptotic theory of convex bodies (52A23)

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On the geometry of random convex sets between polytopes and zonotopes ⋮ Asymptotic shape of the convex hull of isotropic log-concave random vectors

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