Fermionic stochastic analysis

Vortrag von Dr. Luca Fresta

Sprecher eingeladen von: Prof. Dr. Benjamin Schlein

Datum: 07.03.24  Zeit: 16.15 - 18.00  Raum: Y27H46

Ever since Osterwalder and Schrader's pioneering work, it has been established that Fermionic systems can be described using Grassmann variables and Grassmann measures. In my talk, I will delve into this perspective, elucidating fundamental stochastic analytical tools, such as Grassmann Brownian motion and non-commutative $L^{p}$ spaces, which allow for a more thorough stochastic analytical characterisation of Grassmann measures. To exemplify the utility of this approach, I will discuss the advancements achieved in describing some prototypical subcritical interacting Grassmann measures. Based on joint work with F. De Vecchi, M. Gordina and M. Gubinelli.''