We study internal diffusion limited aggregation on $\mathbb {Z} $, where a cluster is grown
by sequentially adding the first site outside the cluster visited by each random walk …

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 …

We examine diffusion-limited aggregation generated by a random walk on $\mathbb {Z} $
with long jumps. We derive upper and lower bounds on the growth rate of the aggregate as …

We present an unified approach on the behavior of two random growth models (external
DLA and internal DLA) on infinite graphs, the second one being an internal counterpart of …

We propose a simple model of columnar growth through diffusion limited aggregation (DLA).
Consider a graph G_N*N, where the basis has N vertices G_N:={1,\dots,N\}, and two vertices …

In this article, we study a class of lattice random variables in the domain of attraction of an α-
stable random variable with index α∈(0, 2) which satisfy a truncated fractional Edgeworth …

In this paper we study the structure of the limit aggregate $ A_\infty=\bigcup_ {n\geq 0} A_n $
of the one-dimensional long range diffusion limited aggregation process defined in …

In this paper we study the structure of the limit aggregate A_∞=n\geq0A_n of the one-
dimensional long range diffusion limited aggregation process defined in (Ann. Probab. 44 …

The conference 'Fractal Geometry and Stochastics VI'with 122 participants from 20 different
countries took place in Bad Herrenalb, Baden-Württemberg, Germany, from September 30 to …

Cette thèse porte sur deux types de problèmes de mécanique statistique: il y est question de
percolation sur les groupes et de modèles dirigés. Dans le premier cas, il s' agit de réaliser …