Martedi` 2 Ottobre, ore 14.00

Aula di Consiglio, Dipartimento di Matematica, La Sapienza

Speaker: F. Patras (University of Nice)

Title: Revisiting chaos expansions and Wick products

Abstract:  Recently, the interest in the structure of cumulants and
Wick products for non-Gaussian variables has been revived, since they 
both play important roles in M. Hairer’s theory of regularity 
structures. We present a new approach to the theory based on tools 
(group actions, Hopf algebras) that allow to understand the theory of 
Wick products as a deformation, a presentation from which many  of their 
properties follow easily. We also discuss how these ideas appear in the 
theory of regularity structures. Based on j.w. with K. Ebrahimi-Fard, N. 
Tapia, L. Zambotti.