Nicolas Chenavier

most citedStretch Factor of Long Paths in a planar Poisson-Delaunay Triangulation

5 citations · 5 across the 2 of their papers we have counts for

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math.PR2023

Compound Poisson process approximation under $β$ -mixing and stabilization

Nicolas Chenavier, Moritz Otto

We establish Poisson and compound Poisson approximations for stabilizing statistics of $β$ -mixing point processes and give explicit rates of convergence. Our findings are based on…

math.PR2016★ 5 cited

Stretch Factor of Long Paths in a planar Poisson-Delaunay Triangulation

Nicolas Chenavier, Olivier Devillers

Let $X := X_{n} \cup {(0, 0), (1, 0)}$ , where $X_{n}$ is a planar Poisson point process of intensity $n$ . We provide a first non-trivial lower bound for the distance between the expected le…

math.PR2016

Cluster size distributions of extreme values for the Poisson-Voronoi tessellation

Nicolas Chenavier, Christian Robert

We consider the Voronoi tessellation based on a homogeneous Poisson point process in $R^{d}$ . For a geometric characteristic of the cells (e.g. the inradius, the circumrad…

Compound Poisson process approximation under β-mixing and stabilization

Stretch Factor of Long Paths in a planar Poisson-Delaunay Triangulation

Cluster size distributions of extreme values for the Poisson-Voronoi tessellation

Compound Poisson process approximation under $β$ -mixing and stabilization