Jean-Baptiste Gouéré

activity

20152026

collaborators

3 papers

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.PR2016

From Hammersley's lines to Hammersley's trees

Anne-Laure Basdevant, Lucas Gerin, Jean-Baptiste Gouere +1

We construct a stationary random tree, embedded in the upper half plane, with prescribed offspring distribution and whose vertices are the atoms of a unit Poisson point process. Th…

math.PR2015

Discrete Hammersley's Lines with sources and sinks

A. -L. Basdevant, N. Enriquez, L. Gerin +1

We introduce two stationary versions of two discrete variants of Hammersley's process in a finite box, this allows us to recover in a unified and simple way the laws of large numbe…

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

From Hammersley's lines to Hammersley's trees

Discrete Hammersley's Lines with sources and sinks

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