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For­schungs­se­mi­nar "Kom­ple­xe Quan­ten­sys­te­me": Lu­ca Fres­ta (Bonn) - Fer­mi­on Sto­cha­stic Ana­ly­sis

Ort: 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.