A note on volume thresholds for random polytopes

DOI10.1007/s10711-020-00589-5zbMath1467.52012arXiv2004.01119OpenAlexW3119482251MaRDI QIDQ2039280

Beatrice-Helen Vritsiou, Debsoumya Chakraborti, Tomasz Tkocz

Publication date: 2 July 2021

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

Full work available at URL: https://arxiv.org/abs/2004.01119

zbMATH Keywords

convex bodiesrandom polytopeshigh dimensionslog-concave measuresvolume threshold

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Asymptotic theory of convex bodies (52A23)

Related Items (8)

Phase transition for the volume of high‐dimensional random polytopes ⋮ Facets of spherical random polytopes ⋮ Limit theorems for the volumes of small codimensional random sections of \(\ell_{p}^{n}\)-balls ⋮ 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 ⋮ Random volumes in d-dimensional polytopes

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