%0 Journal Article
%T Random entropy and recurrence
%A Karma Dajani
%A Ronald Meester
%J International Journal of Mathematics and Mathematical Sciences
%D 2003
%I Hindawi Publishing Corporation
%R 10.1155/s0161171203212217
%X We show that a cocycle, which is nothing but a generalized random walk with index set ℤd, with bounded step sizes is recurrent whenever its associated random entropy is zero, and transient whenever its associated random entropy is positive. This generalizes a well-known one-dimensional result and implies a Polya type dichotomy for this situation.
%U http://www.hindawi.com/journals/ijmms/2003/193967/abs/