2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136889New results about Poisson-Dirichlet point processes and Derrida-Ruelle cascades allow us to express Guerra's interpolation entirely in the language of Derrida-Ruelle cascades and to streamline Guerra's computations. Moreover, our approach clarifies the nature of the error terms along the interpolation.v2: some minor correctionsProbabilityMathematical Physics60K35, 82B44text