Article ID Journal Published Year Pages File Type
4612480 Journal of Differential Equations 2010 29 Pages PDF
Abstract

The 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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis