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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115245We 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 $(\log n)^3$.Probability60K37, 60G50, 60J80Slow movement of random walk in random environment on a regular treetext