Recurrence on the average on trees
arXiv:cond-mat/0206149
Abstract
In this paper we show that all infinite trees which have bounded coordination and whose surface is negligible with respect to the volume in the limit of large distances (so that they can be embedded in a finite-dimensional euclidean space) are recurrent on the average; this has important consequences about the spontaneous symmetry breaking of statistical models defined on such trees.
5 pages,1 eps figure, revtex4