Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
02 October 2019 |
17 October 2019 |
10 March 2020 |
Abstract: In this communication we try to explain and motivate the theory of rough paths introduced by T. Lyons in the context of rooted trees. We show how it is used in an abstract algebraic approach to the definition of integrals over paths which involves a cochain complex of finite increments. In the context of such abstract integration theories we outline a connection with the Hochschild cohomology and rooted trees. As intersting examples where these ideas apply we present iisignature package in Python language.