2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110120We introduce a natural nonhierarchical version of Derrida's generalized random energy model. We prove that, in the thermodynamical limit, the free energy is the same as that of a suitably constructed GREM.Published at http://dx.doi.org/10.1214/105051605000000665 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)Probability60G60, 82B44 (Primary)text