Speed of the biased random walk on a Galton-Watson tree

E. Aïdekon (1)

1 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

We give an expression of the speed of the biased random walk on a Galton-Watson tree. In the particular case of the simple random walk, we recover the result of Lyons et al. (Erg Theory Dyn Syst 15:593-619, 1995). The proof uses a description of the invariant distribution of the environment seen from the particle.

Domaines: Probabilités [math.PR]

E. Aïdekon. Speed of the biased random walk on a Galton-Watson tree. Probability Theory and Related Fields, 2014, 159 (3-4), pp.597-617. ⟨10.1007/s00440-013-0515-y⟩. ⟨hal-01038101⟩