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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2 papers · 1 filter

math.MG2016

Polytopal approximation of elongated convex bodies

Gilles Bonnet

This paper presents bounds for the best approximation, with respect to the Hausdorff metric, of a convex body $K$ by a circumscribed polytope $P$ with a given number of facets. The…

math.PR2016

Cells with many facets in a Poisson hyperplane tessellation

Gilles Bonnet, Pierre Calka, Matthias Reitzner

Let $Z$ be the typical cell of a stationary Poisson hyperplane tessellation in $R^{d}$ . The distribution of the number of facets $f (Z)$ of the typical cell is investigated.…