Date

Re­search Sem­in­ar "Com­plex Quantum Sys­tems": Luca Fresta (Bonn) - Fer­mi­on Stochast­ic Ana­lys­is

Location: D2.314

Fermion Stochastic Analysis

Ever since Osterwalder and Schrader's pioneering work, it has been established that Fermion 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, 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 interacting Grassmann measures. Based on joint works with F. De Vecchi, M. Gordina and M. Gubinelli.