3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.PR2025
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…
math.PR2022
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…
math.PR2015★ 3 cited
An asymptotic shape theorem for additive random linear growth models
Aurelia Deshayes, Pierrick Siest
In this paper, we define a class of additive random growth models whose growth is at least and at most linear and prove an asymptotic shape theorem for these models. This proof gen…