Fermionic stochastic analysis
Recent Trends in Stochastic Partial Differential Equations November 17, 2025 - November 21, 2025
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Fermionic stochastic analysis
I will talk about stochastic analysis of Grassmann random variables suitable for the stochastic quantization of Euclidean fermionic quantum field theories. The idea of using Grassmann random variables for fermionic systems goes back to Osterwalder and Schrader, and to implement it we used tools from non-commutative analysis. I will describe some of the stochastic analytical tools such as Grassmann Brownian motion and non-commutative $L^{p}$ spaces, and mention some of the applications and open questions. Based on the joint work with F. De Vecchi, L. Fresta and M. Gubinelli.
Fermionic stochastic analysis
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