Volume thresholds for Gaussian and spherical random polytopes and their duals

DOI10.4064/sm183-1-2zbMath1134.52005OpenAlexW2010219188MaRDI QIDQ5423611

Peter Pivovarov

Publication date: 23 October 2007

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm183-1-2

zbMATH Keywords

random polytopeshigh-dimensional convex bodies

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (11)

Phase transition for the volume of high‐dimensional random polytopes ⋮ Unnamed Item ⋮ Half-space depth of log-concave probability measures ⋮ Threshold for the expected measure of the convex hull of random points with independent coordinates ⋮ Threshold for the expected measure of random polytopes ⋮ Approximate Voronoi cells for lattices, revisited ⋮ Random volumes in d-dimensional polytopes ⋮ A note on volume thresholds for random polytopes ⋮ Threshold phenomena for high-dimensional random polytopes ⋮ On a game of chance in Marc Elsberg's thriller ``GREED ⋮ Threshold phenomena for random cones

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