DAISUKE SHIRAISHI, A RANDOM WALK ON A NON-INTERSECTING TWO-SIDED RANDOM WALK TRACE IS SUBDIFFUSIVE IN LOW DIMENSIONS, Transactions of the American Mathematical Society, Vol. 370, No. 7 (July 2018), pp ...

We show that the transience or recurrence of a random walk in certain random environments on an arbitrary infinite locally finite tree is determined by the branching number of the tree, which is a ...