Nicolas Chenavier

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

5 citations · 9 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2018★ 4 cited

The largest order statistics for the inradius in an isotropic STIT tessellation

Nicolas Chenavier, Werner Nagel

A planar stationary and isotropic STIT tessellation at time $t > 0$ is observed in the window $W_{ρ} = t^{- 1} π ρ \cdot [- \frac{1}{2}, \frac{1}{2}]^{2}$ , for $ρ > 0$ . With each cell o…

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…