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math.PR2018
Angles of the Gaussian simplex
Zakhar Kabluchko, Dmitry Zaporozhets
Consider a -dimensional simplex whose vertices are random points chosen independently according to the standard Gaussian distribution on . We prove that the expecte…
math.PR2018
Beta polytopes and Poisson polyhedra: -vectors and angles
Zakhar Kabluchko, Christoph Thaele, Dmitry Zaporozhets
We study random polytopes of the form defined as convex hulls of independent and identically distributed random points in with on…