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• W2234360442 abstract "Let x1,…,xN be independent random points distributed according to an isotropic log-concave measure μ on Rn, and consider the random polytopeKN:=conv{±x1,…,±xN}. We provide sharp estimates for the quermaßintegrals and other geometric parameters of KN in the range cn⩽N⩽exp⁡(n); these complement previous results from [13] and [14] that were given for the range cn⩽N⩽exp⁡(n). One of the basic new ingredients in our work is a recent result of E. Milman that determines the mean width of the centroid body Zq(μ) of μ for all 1⩽q⩽n." @default.
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• W2234360442 date "2016-04-01" @default.
• W2234360442 modified "2023-09-30" @default.
• W2234360442 title "Asymptotic shape of the convex hull of isotropic log-concave random vectors" @default.
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• W2234360442 doi "https://doi.org/10.1016/j.aam.2016.01.004" @default.
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