Interacting growth processes and invariant percolation

Sebastian Mueller (1)

1 I2M - Institut de Mathématiques de Marseille

The 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.

Domaines: Probabilités [math.PR]

Sebastian Mueller. Interacting growth processes and invariant percolation. The Annals of Applied Probability, 2015, 25, pp.268 - 286. ⟨10.1214/13-AAP995⟩. ⟨hal-01103211⟩