2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68426Sharp 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.ProbabilityMathematical Physicstext