Flow equation approach to singular stochastic PDEs

Pawel Duch (Adam Mickiewicz University in Poznan)

Nov 11. 2021, 14:50 — 15:15

I will present a new method of renormalizing singular stochastic PDEs based on the Wilsonian renormalization group theory and the Polchinski flow equation. The method is applicable to a large class of semi-linear parabolic SPDEs with a fractional Laplacian, an additive noise and a polynomial non-linearity. In particular, in the case of the four-dimensional torus and the cubic non-linearity it covers the whole sub-critical regime. A nice feature of the developed technique is that it avoids the algebraic and combinatorial problems arising in different approaches. The talk is based on arXiv:2109.11380.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures Emerging from Renormalisation (Graduate School)
Pierre Clavier (U of Haut-Alsace)
Kurusch Ebrahimi-Fard (NTNU, Trondheim)
Peter K. Friz (TU Berlin)
Harald Grosse (U of Vienna)
Dominique Manchon (U Clerment Auvergne)
Sylvie Paycha (U of Potsdam)
Sylke Pfeiffer (U of Potsdam)