4 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…
Finding the convex envelope of a boundary datum using random geometric graphs
Aurelia Deshayes, Nicolás Frevenza, Alfredo Miranda +1
In this paper we approximate the convex envelope of a boundary datum inside a bounded domain in the Euclidean space. We work with a random graph that is obtained as random points w…
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…
The Rightmost Particle of the Contact Process on Dynamic Random Environments
Isabella Alvarenga, Aurelia Deshayes
We study the behaviour of the rightmost occupied site in two models: the Spont process and the contact process with inherited sterility, in dimension 1. Both can be viewed as conta…