Internal DLA generated by cookie random walks on $\mathbb{Z}$.

Olivier Raimond (1) , Bruno Schapira (2)

1 MODAL'X - Modélisation aléatoire de Paris X
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We prove a law of large numbers for the right boundary in the model of internal DLA generated by cookie random walks in dimension one. The proof is based on stochastic algorithms techniques.

Mots clés: Internal DLA; cookie random walks; excited random walk; law of large numbers.; law of large numbers

Domaines: Probabilités [math.PR]

Olivier Raimond, Bruno Schapira. Internal DLA generated by cookie random walks on $\mathbb{Z}$.. 2011. ⟨hal-00599715⟩