Slow movement of random walk in random environment on a regular tree

Yueyun Hu (1) , Zhan Shi (2)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

We consider a recurrent random walk in random environment on a regular tree. Under suitable general assumptions upon the distribution of the environment, we show that the walk exhibits an unusual slow movement: the order of magnitude of the walk in the first $n$ steps is $(\log n)^3$.

Mots clés: Random walk in random environment; slow movement; tree; branching random walk.; branching random walk

Domaines: Probabilités [math.PR]

Yueyun Hu, Zhan Shi. Slow movement of random walk in random environment on a regular tree. 2006. ⟨hal-00088407⟩