Gilles Bonnet

activity

20162026

most citedThreshold phenomena for high-dimensional random polytopes

17 citations · 38 across the 9 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.PR2018

The maximal degree in a Poisson-Delaunay graph

Gilles Bonnet, Nicolas Chenavier

We investigate the maximal degree in a Poisson-Delaunay graph in $R^{d}$ , $d \geq 2$ , over all nodes in the window $W_{ρ} := ρ^{1/ d} [0, 1]^{d}$ as $ρ$ goes to infinity. Th…

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…