Zusammenfassung für den Vortrag am 24.09.2021 (11:00 Uhr)

Arbeitsgemeinschaft ANGEWANDTE ANALYSIS

Paweł Duch (MPI MIS, Leipzig)
Flow equation approach to singular stochastic PDEs

I will present a new method of renormalizing singular stochastic PDEs based on the Wilson renormalization group theory and the Polchinski flow equation. The technique is applicable to a large class of semi-linear parabolic or elliptic SPDEs with fractional Laplacian, additive noise and polynomial non-linearity including equations arbitrarily close to criticality. A nice feature of the method is that it avoids the algebraic and combinatorial problems arising in different approaches.