2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70706This paper studies the behavior of RWRE on trees in the critical case left open in previous work. For trees of exponential growth, a random perturbation of the transition probabilities can change a transient random walk into a recurrent one. This is the opposite of what occurs on trees of sub-exponential growth.19 pagesProbabilityCritical Random Walk in Random Environment on Trees of Exponential Growthtext