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math.MG2017
Moments of volumes of lower-dimensional random simplices are not monotone
Benjamin Reichenwallner
In a -dimensional convex body , for , random points are chosen according to the uniform distribution in . Their convex hull is a random $…
math.MG2016★ 4 cited
On the monotonicity of the moments of volumes of random simplices
Benjamin Reichenwallner, Matthias Reitzner
In a -dimensional convex body random points are chosen. Their convex hull is a random simplex. The expected volume of a random simplex is monotone under se…