J. Grote

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20172019

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math.PR2018

Universal Scaling Limits for Generalized Gamma Polytopes

Julian Grote

Fix a space dimension $d \geq 2$ , parameters $α > - 1$ and $β \geq 1$ , and let $γ_{d, α, β}$ be the probability measure of an isotropic random vector in $R^{d}$ with density propor…

math.PR2017

Limit theorems for random simplices in high dimensions

Julian Grote, Zakhar Kabluchko, Christoph Thäle

Let $r = r (n)$ be a sequence of integers such that $r \leq n$ and let $X_{1}, \dots, X_{r + 1}$ be independent random points distributed according to the Gaussian, the Beta or the spherica…