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math.MG2003★ 4 cited
On symmetric versions of Sylvester's problem
Mark W. Meckes
We consider moments of the normalized volume of a symmetric or nonsymmetric random polytope in a fixed symmetric convex body. We investigate for which bodies these moments are extr…
math.MG2003★ 1 cited
Volumes of symmetric random polytopes
Mark W. Meckes
We consider the moments of the volume of the symmetric convex hull of independent random points in an -dimensional symmetric convex body. We calculate explicitly the second and…