64 citations · 84 across the 14 of their papers we have counts for
18 papers
Absence of percolation for infinite Poissonian systems of stopped paths
David Coupier, David Dereudre, Jean-Baptiste Gouéré
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…
Disjoint finite geodesics in first-passage percolation
Olivier Durieu, Jean-Baptiste Gouéré, Antonin Jacquet
We investigate first-passage percolation on the lattice for dimensions . Each edge of the graph is assigned an independent copy of a non-negative random variab…
First-order behavior of the time constant in non-isotropic continuous first-passage percolation
Anne-Laure Basdevant, Jean-Baptiste Gouéré, Marie Théret
Consider a homogeneous Poisson point process on () with unit intensity with respect to the Lebesgue measure. For , we define the Bool…
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 (), with i.i.d. passage times associated with either the edges or the vertices of the graph.…
Percolation in the Boolean model with convex grains in high dimension
Jean-Baptiste Gouéré, Florestan Labéy
We investigate percolation in the Boolean model with convex grains in high dimension. For each dimension d, one fixes a compact, convex and symmetric set K R d with non e…
Equivalence of some subcritical properties in continuum percolation
Jean-Baptiste Gouéré, Marie Théret
We consider the Boolean model on . We prove some equivalences between subcritical percolation properties. Let us introduce some notations to state one of these equivalences.…