Gilles Bonnet

collaborators

2 papers

math.PR2025

Degrees in the $β$ - and $β^{'}$ -Delaunay graphs

Gilles Bonnet, Joseph Gordon

We investigate the typical cells $Z$ and $Z^{'}$ of $β$ - and $β^{'}$ -Voronoi tessellations in $R^{d}$ , establishing a Complementary Theorem which entails…

math.PR2024

Concentration inequalities for Poisson $U$ -statistics

Gilles Bonnet, Anna Gusakova

In this article we obtain concentration inequalities for Poisson $U$ -statistics $F_{m} (f, η)$ of order $m \geq 1$ with kernels $f$ under general assumptions on $f$ and the intensity mea…

Degrees in the β- and β′-Delaunay graphs

Concentration inequalities for Poisson U-statistics

Degrees in the $β$ - and $β^{'}$ -Delaunay graphs

Concentration inequalities for Poisson $U$ -statistics