Research Communication | Open Access
Volume 2020 | Communication ID 14 |

Théorie des sentiers rugueux et cohomologie de Hochschild

Labair Abdelkader
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.