Nicolas Chenavier

activity

20132022

most citedThe largest order statistics for the inradius in an isotropic STIT tessellation

4 citations · 7 across the 5 of their papers we have counts for

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8 papers · 1 filter

math.PR2022

Some properties on extremes for transient random walks in random sceneries

Nicolas Chenavier, Ahmad Darwiche

Let $(S_{n})_{n \geq 0}$ be a transient random walk in the domain of attraction of a stable law and let $(ξ (s))_{s \in Z}$ be a stationary sequence of random variables. In a…

math.PR2021

Limit laws for large kth-nearest neighbor balls

Nicolas Chenavier, Norbert Henze, Moritz Otto

Let $X_{1}, \dots, X_{n}$ be a sequence of independent random points in $R^{d}$ with common Lebesgue density $f$ . Under some conditions on $f$ , we obtain a Poisson limit theorem,…

math.PR2020

Extremal life times of persistent loops and holes

Nicolas Chenavier, Christian Hirsch

Persistent homology captures the appearances and disappearances of topological features such as loops and holes when growing disks centered at a Poisson point process. We study ext…

math.PR2019★ 3 cited

Extremes for transient random walks in random sceneries under weak independence conditions

Nicolas Chenavier, Ahmad Darwiche

Let ${ξ (k), k \in Z}$ be a stationary sequence of random variables with conditions of type $D (u_{n})$ and $D^{'} (u_{n})$ . Let ${S_{n}, n \in N}$ be a transient rando…

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.PR2018

The maximal degree in a Poisson-Delaunay graph

Gilles Bonnet, Nicolas Chenavier

We investigate the maximal degree in a Poisson-Delaunay graph in $R^{d}$ , $d \geq 2$ , over all nodes in the window $W_{ρ} := ρ^{1/ d} [0, 1]^{d}$ as $ρ$ goes to infinity. Th…