We would like to bring to your attention the conference in CIRM - Lumini, Marseille from 20 – 24 October, 2025:
New trends of stochastic nonlinear systems: well-posedeness, dynamics and numerics
Erika Hausenblas (University of Leoben) Chengcheng Ling (University of Augsburg) Stéphane Menozzi (Université d’Évry)
https://conferences.cirm-math.fr/3374.html
Stochastic analysis is a very dynamic field which has undergone numerous developments over the last decades: stochastic differential equations (SDE), stochastic partial differential equations (EDPS), Malliavin calculus...
In order to study new singular complex models, which in particular arise from regularization/de-regulation by noise-related problems, particle systems, quantum mechanics or machine learning, new ideas have appeared, yielding numerous results concerning the well-posedness, dynamics and approximation of singular ED(P)S in numerous scientific or engineering fields. Among these ideas, we can mention: the application of convex integration techniques for stochastic equations, the sewing lemma to highlight fine regularisation properties of the underlying noise, quantum field theory to help understand quantum dynamics, or the association of classical techniques with tools such as rough paths theory to solve problems which could not be addressed independently.
If you would like to participate, please contact one of the organisers or spdescirmmarseille@gmail.com.