Thoughts on Regularity Structures

Felix Otto (MPI MIS, Leipzig)

Nov 04. 2022, 15:00 — 15:45

Hairer’s regularity structures provide a general framework for a solution theory for partial differential equations driven by a noise that is so rough that the nonlinearity requires a renormalization. The notions (like the structure group) and tools (like modelled distributions) are surprisingly versatile and not tied to the combinatorics of decorated trees and diagrams, but extend to more top-down ways of organizing renormalization. In fact, they are in harmony with a more analytic approach, based on taking derivatives with respect to the constitutive law defining the nonlinearity and with respect to the noise (Malliavin derivative).

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
ESI Medal Award Ceremony 2022 (Symposium)
Christoph Dellago (U of Vienna)