Professor F. Patras (Univ. Côte  d’Azur, CNRS)

will give a seminar on Thursday, May 04th at 15:00, in Aula Dottorato, at the Department of Mathematics "Federigo Enriques", Università degli Studi di Miano.

Title: "Wick polynomials, from classical to free probability."

Abstract: Wick polynomials are a central object in quantum physics and classical probability (where they encode for example "chaos decompositions" - they provide an orthonormal basis of the space of square integrable functions of a Gaussian random variable). We will discuss an algebraic formulation of Wick's constructions that allows to generalize them to a wide variety of contexts, featuring free probability - a probability theory closely linked to random matrices but that appears in various recent works, in different areas.

Stefania Ugolini (University of Milan) Francesco De Vecchi (University of Pavia)