Jean-Baptiste Gou'er'e

collaborators

3 papers

math.PR2025

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

Anne-Laure Basdevant, Jean-Baptiste GouÃ©rÃ©, Marie ThÃ©ret

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…

math.PR2024

Absence of percolation for infinite Poissonian systems of stopped paths

David Coupier, David Dereudre, Jean-Baptiste GouÃ©rÃ©

The state space of our model is the Euclidean space in dimension d = 2. Simultaneously, from all points of a homogeneous Poisson point process, we let grow independent and identica…

math.PR2024

Disjoint finite geodesics in first-passage percolation

We investigate first-passage percolation on the lattice $Z^{d}$ for dimensions $d \geq 2$ . Each edge $e$ of the graph is assigned an independent copy of a non-negative random variab…