Séminaire Analyse-Proba (Antoine Mouzard, mardi 10 février 2026)

Le prochain séminaire Analyse-Proba aura lieu mardi 10 février à 10h30 en A711. Antoine Mouzard (Paris-Nanterre) nous parlera de :

Anderson Phi_2^4 and stochastic quantization

Abstract
In this talk, I will present the approach of stochastic quantization from Parisi and Wu in order to construct measures from Quantum Field Theory using parabolic dynamic. Following the Metropolis-Hastings algorithm, one considers a stochastic heat equation associated to the QFT as an infinite dimensional Langevin SDE and study its properties using tools from stochastic analysis and PDEs. After an introduction on the usual \Phi_d^4 model on the torus, I'll explain how this can be adapted to a random singular environment given by a continuous Anderson operator where we obtain exponential ergodicity. Joint work with Hugo Eulry.