2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147514Directed polymers in random media are studied using results of the asymptotic theory of extreme statistics. Despite the strong correlation, one can recover the behavior of independent random variables for high dimensions, using a result which requires only a control of pairwise correlation, and focussing on ensembles of low energy directed polymers.Withdrawn; A revised version of the paper will be resubmitted shortlyCondensed Mattertext