Let b be an integer greater than 1 and let Wε=(Wn ε;n≥ 0) be a random walk on the b-ary rooted tree Ub, starting at the root, going up (resp. down) with probability 1/2 + ε (resp. 1/2 - ε), ε ∈ (0, ...

Step aside windmills, there's a new way to harvest kinetic energy in the works. A research team at the Ohio State University has created electromechanical devices that look like tiny leafless trees ...

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 ...