Directed Diffusion-Limited Aggregation

Sébastien Martineau (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

In this paper, we define a directed version of the Diffusion-Limited-Aggregation model. We present several equivalent definitions in finite volume and a definition in infinite volume. We obtain bounds on the speed of propagation of information in infinite volume and explore the geometry of the infinite cluster. We also explain how these results fit in a strategy for proving a shape theorem for this model.

Mots clés: Diffusion-limited aggregation

Domaines: Probabilités [math.PR]

Sébastien Martineau. Directed Diffusion-Limited Aggregation. 2014. ⟨ensl-01078294v1⟩