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math.MG2025
Approximation of the Euclidean ball by polytopes with a fixed number of -faces
Steven Hoehner, Carsten Schütt, Elisabeth Werner
We derive lower estimates for the approximation of the -dimensional Euclidean ball by polytopes with a fixed number of -dimensional faces, . The metri…
math.PR2025
Expected extremal area of facets of random polytopes
Brett Leroux, Luis Rademacher, Carsten Schütt +1
We study extremal properties of spherical random polytopes, the convex hull of random points chosen from the unit Euclidean sphere in . The extremal properties of int…