2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67725In this paper we introduce a new bijection from the set of Dyck paths to itself. This bijection has the property that it maps statistics that appeared recently in the study of pattern-avoiding permutations into classical statistics on Dyck paths, whose distribution is easy to obtain. We also present a generalization of the bijection, as well as several applications of it to enumeration problems of statistics in restricted permutations.13 pages, 8 figures, submitted to Annals of CombinatoricsCombinatorics05A15, 05A05text