2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117897The stack of iterated integrals of a path is embedded in a larger algebraic structure where iterated integrals are indexed by decorated rooted trees and where an extended Chen's multiplicative property involves the Dürr-Connes-Kreimer coproduct on rooted trees. This turns out to be the natural setting for a non-geometric theory of rough paths.28 pagesClassical Analysis and ODEs60H99; 65L99text