Anne-Laure Basdevant

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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 GouÃ©rÃ© +1

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

math.PR2025

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

Consider $I^$ 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 Boo…

Random sequential nearest-neighbor coloring on trees

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

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

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