Anne-Laure Basdevant

activity

20052026

most citedContinuous-time vertex reinforced jump processes on Galton-Watson trees

23 citations · 38 across the 20 of their papers we have counts for

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math.PR2026

Random sequential nearest-neighbor coloring on trees

Anne-Laure Basdevant, Arvind Singh

We study a nearest-neighbor coloring process in which vertices are revealed in random order and inherit the color of the closest vertex revealed before them. This model is a discre…

math.PR2026

The $K$ -th nearest neighbor random walk on a Poisson point process gets trapped

Anne-Laure Basdevant, David Coupier, Jean-Baptiste Gouéré +1

The $K$ -th nearest neighbor random walk $(X_{n})_{n \geq 0}$ on a homogeneous Poisson point process $χ$ on $R^{d}$ ( $d \geq 1$ ), starts at the origin and at each step picks its next Po…

math.PR2024

First-order behavior of the time constant in non-isotropic continuous first-passage percolation

Anne-Laure Basdevant, Jean-Baptiste Gouéré, Marie Théret

Consider $Ξ$ a homogeneous Poisson point process on $R^{d}$ ( $d \geq 2$ ) with unit intensity with respect to the Lebesgue measure. For $ε \geq 0$ , we define the Bool…

math.PR2023

Fractal properties of the frontier in Poissonian coloring

Anne-Laure Basdevant, Guillaume Blanc, Nicolas Curien +1

We study a model of random partitioning by nearest-neighbor coloring from Poisson rain, introduced independently by Aldous and Preater. Given two initial points in $[0, 1]^{d}$ respec…

math.PR2021

First-order behavior of the time constant in Bernoulli first-passage percolation

Anne-Laure Basdevant, Jean-Baptiste Gouéré, Marie Théret

We consider the standard model of first-passage percolation on $Z^{d}$ ( $d \geq 2$ ), with i.i.d. passage times associated with either the edges or the vertices of the graph.…

math.PR2020

Longest increasing paths with Lipschitz constraints

Anne-Laure Basdevant, Lucas Gerin

The Hammersley problem asks for the maximal number of points in a monotonous path through a Poisson point process. It is exactly solvable and notoriously known to belong to the KPZ…