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arXiv · 1811.09400

Angles of the Gaussian simplex

Zakhar Kabluchko·Dmitry Zaporozhets
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Abstract

Consider a $d$-dimensional simplex whose vertices are random points chosen independently according to the standard Gaussian distribution on $\mathbb R^d$. We prove that the expected angle sum of this random simplex equals the angle sum of the regular simplex of the same dimension $d$.

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Zakhar Kabluchko, Dmitry Zaporozhets. 2018-11-23. Angles of the Gaussian simplex. https://arxiv.org/abs/1811.09400

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