39 citations · 92 across the 20 of their papers we have counts for
24 papers
The Contact Process Can Survive on a Slightly Subcritical Dynamical Percolation Cluster
Aurelia Deshayes, Régine Marchand
The contact process on dynamic edges (CPDE) is a contact process evolving on a dynamic environment given by a dynamical percolation on the edges of Z d\,: each edge updates its sta…
Richardson's model and the contact process with stirring: long time behavior
Régine Marchand, Irène Marcovici, Pierrick Siest
We study two famous interacting particle systems, the so-called Richardson's model and the contact process, when we add a stirring dynamics to them. We prove that they both satisfy…
Corner percolation with preferential directions
Régine Marchand, Irène Marcovici, Pierrick Siest
Corner percolation is a dependent bond percolation model on Z^2 introduced by Bálint Tóth, in which each vertex has exactly two incident edges, perpendicular to each other. Gábor P…
Percolation and first-passage percolation on oriented graphs
Olivier Garet, Régine Marchand
We give the first properties of independent Bernoulli percolation, for oriented graphs on the set of vertices that are translation-invariant and may contain loops. We exhibi…
Does Eulerian percolation on percolate ?
Olivier Garet, Regine Marchand, Irène Marcovici
Eulerian percolation on Z 2 with parameter p is the classical Bernoulli bond percolation with parameter p conditioned on the fact that every site has an even degree. We first expla…
Continuity of the time and isoperimetric constants in supercritical percolation
Olivier Garet, Régine Marchand, Eviatar B. Procaccia +1
We consider two different objects on super-critical Bernoulli percolation on : the time constant for i.i.d. first-passage percolation (for ) and the isoperi…