International audienceThe aim of this paper is to underline the relation between re-versible growth processes and invariant percolation. We present two models of interacting branching random walks (BRWs), truncated BRWs and competing BRWs, where survival of the growth process can be formulated as the existence of an infinite cluster in an in-variant percolation on a tree. Our approach is fairly conceptual and allows generalizations to a wider set of "reversible" growth processes
The focus of this dissertation is a class of random processes known as interacting measure-valued st...
This thesis is a contribution to the mathematical study of interacting particles systems which inclu...
This thesis concerns interacting particle systems in a randomly evolving environment. In the first p...
International audienceThe aim of this paper is to underline the relation between re-versible growth ...
In this paper we prove that under the assumption of quasi-transitivity, if a branching random walk ...
We propose two models of the evolution of a pair of competing populations. Both are lattice based. T...
We study a natural growth process with competition, which was recently introduced to analyze MDLA, a...
In the present thesis, we consider three different random graph-theoretic growth models. These model...
Note: This paper is the full version of Blath, Etheridge & Meredith (2007). It has also successfully...
Comparing individual contributions in a strongly interacting system of stochastic growth processes c...
Abstract. In this paper we prove that under the assumption of quasi-transitivity, if a branching ran...
We consider a spatial stochastic process with values in (N) S , where S is a countable Abelian gro...
Two classes of interacting particle systems on Z are shown to be Pfaffian point processes, at any fi...
In this thesis we first analyze the class of one-dependent trigonometric determinantal processes and...
Cette thèse se compose de quatre chapitres:Le chapitre 1 étudie la distribution du temps de coalesce...
The focus of this dissertation is a class of random processes known as interacting measure-valued st...
This thesis is a contribution to the mathematical study of interacting particles systems which inclu...
This thesis concerns interacting particle systems in a randomly evolving environment. In the first p...
International audienceThe aim of this paper is to underline the relation between re-versible growth ...
In this paper we prove that under the assumption of quasi-transitivity, if a branching random walk ...
We propose two models of the evolution of a pair of competing populations. Both are lattice based. T...
We study a natural growth process with competition, which was recently introduced to analyze MDLA, a...
In the present thesis, we consider three different random graph-theoretic growth models. These model...
Note: This paper is the full version of Blath, Etheridge & Meredith (2007). It has also successfully...
Comparing individual contributions in a strongly interacting system of stochastic growth processes c...
Abstract. In this paper we prove that under the assumption of quasi-transitivity, if a branching ran...
We consider a spatial stochastic process with values in (N) S , where S is a countable Abelian gro...
Two classes of interacting particle systems on Z are shown to be Pfaffian point processes, at any fi...
In this thesis we first analyze the class of one-dependent trigonometric determinantal processes and...
Cette thèse se compose de quatre chapitres:Le chapitre 1 étudie la distribution du temps de coalesce...
The focus of this dissertation is a class of random processes known as interacting measure-valued st...
This thesis is a contribution to the mathematical study of interacting particles systems which inclu...
This thesis concerns interacting particle systems in a randomly evolving environment. In the first p...