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

collaborators

Showing 2019 · math.PRShow all

2 papers · 2 filters

math.PR2019★ 10 cited

Phase transition for the volume of high-dimensional random polytopes

Gilles Bonnet, Zakhar Kabluchko, Nicola Turchi

The beta polytope $P_{n, d}^{β}$ is the convex hull of $n$ i.i.d. random points distributed in the unit ball of $R^{d}$ according to a density proportional to $(1-\lVert{x}\rVe…

math.PR2019

Facets of spherical random polytopes

Gilles Bonnet, Eliza O'Reilly

Facets of the convex hull of $n$ independent random vectors chosen uniformly at random from the unit sphere in $R^{d}$ are studied. A particular focus is given on the height…