Journal of Statistical Physics, Vol. 29, No. 4, 1982. p. 781-794.
We obtain random walk statistics for a nearest-neighbor (Pdlya) walk on a Bethe lattice (infinite Cayley tree) of coordination number z, and show how a random walk problem for a particular inhomogeneous Bethe lattice may be solved exactly. We question the common assertion that the Bethe lattice is an infinite-dimensional system.