Free Wick polynomials

24.04.2020, 11:00  –  Zoom Meeting
Arbeitsgruppenseminar Analysis

Nikolas Tapia (TU Berlin and WIAS)

Solutions to the Dyson-Schwinger equation can be obtained by inverting the normal ordering operator. This operator is related to Wick polynomials of annihilation and creation operators. In this talk I will focus on Wick polynomials for non-commuting random variables. I will present a shuffle algebra approach to the combinatorics of such polynomials in the free and boolean settings. This is a joint work with K. Ebrahimi-Fard, F. Patras and L. Zambotti.