%0 Journal Article
%T Loop-erased random walk on a torus in dimensions 4 and above
%A Itai Benjamini
%A Gady Kozma
%J Mathematics
%D 2003
%I arXiv
%X Sharp estimates for the length of loop erased random walk between two vertices on the [n]^d -torus, d > 4, are established. The mean length is order n^{d/2} . In dimension 4 we have only an upper bound.
%U http://arxiv.org/abs/math/0309009v1