Stochastic Partial Differential Equations and Renormalization à la Epstein-Glaser (Claudio Dappiaggi, Università di Pavia)

08.12.2025 16:15 – 18:00

Abstract:
We present a novel framework for the study of a large class of nonlinear stochastic partial differential equations, which is inspired by the algebraic approach to quantum field theory. The main merit is that, by realizing random fields within a suitable algebra of functional-valued distributions, we are able to use specific techniques proper of microlocal analysis. These allow us to deal with renormalization using an Epstein-Glaser perspective, hence without resorting to any specific regularization scheme. As a concrete example we shall use this method to discuss the stochastic $\Phi^3_d$ model and we shall comment on its applicability to the stochastic nonlinear Schrödinger equation as well as to the stochastic Thirring model -- Joint works with Alberto Bonicelli, Beatrice Costeri, Nicolò Drago, Paolo Rinaldi and Lorenzo Zambotti.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-15, Séminaire Math Physics

entrée libre