Biased random walks on a Galton-Watson tree with leaves

Gérard Ben Arous, Alexander Fribergh, Nina Gantert +1

We consider a biased random walk $X_n$ on a Galton-Watson tree with leaves in the sub-ballistic regime. We prove that there exists an explicit constant $\gamma =\gamma (\beta )\in (0,1)$, dependi…