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Flow equation approach to singular stochastic PDEs

  • Paweł Duch (MPI MiS, Leipzig)
E1 05 (Leibniz-Saal)

Abstract

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.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher