Angles of random simplices and face numbers of random polytopes
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DOI: 10.1016/j.aim.2021.107612
Abstract: Pick $d+1$ points uniformly at random on the unit sphere in $\mathbb R^d$. What is the expected value of the angle sum of the simplex spanned by these points? Choose $n$ points uniformly at random… read more here.
Keywords: face numbers; beta; random polytopes; angles random ... See more keywords