Gilles Bonnet

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math.PR2026

Degrees in the $I^^{2}$ - and $Î²'$-Delaunay graphs

Gilles Bonnet, Joseph Gordon

We investigate the typical cells $Z$ and $Z^{'}$ of $I^^{2}$ - and $Î²'$-Voronoi tessellations in $R^{d}$ , establishing a Complementary Theorem which entai…

math.PR2024

Concentration inequalities for Poisson $U$ -statistics

Gilles Bonnet, Anna Gusakova

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

Degrees in the I^2- and $Î²'$-Delaunay graphs

Concentration inequalities for Poisson U-statistics

Degrees in the $I^^{2}$ - and $Î²'$-Delaunay graphs

Concentration inequalities for Poisson $U$ -statistics