J. Grote

activity

20152019

most citedThreshold phenomena for high-dimensional random polytopes

17 citations · 18 across the 3 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.MG2018

Surface area deviation between smooth convex bodies and polytopes

Julian Grote, Christoph Thaele, Elisabeth M. Werner

The deviation of a general convex body with twice differentiable boundary and an arbitrarily positioned polytope with a given number of vertices is studied. The paper considers the…

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.MG2018★ 17 cited

Threshold phenomena for high-dimensional random polytopes

Gilles Bonnet, Giorgos Chasapis, Julian Grote +2

Let $X_{1}, \dots, X_{N}$ , $N > n$ , be independent random points in $R^{n}$ , distributed according to the so-called beta or beta-prime distribution, respectively. We establish thre…