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Singular Stochastic PDEs - A Short introduction to the theory of Regularity Structures

  • Joscha Diehl (Technische Universität Berlin, Germany)
A3 01 (Sophus-Lie room)

Abstract

I present a hands-on introduction to the theory of regularity structures by Martin Hairer. This theory provides the machinery for treating of a class of formally ill-posed stochastic partial differential equations, including the KPZ equation which models surface growth. It can be considered a deep extension of the theory of rough paths, and I will sketch out the explicit link. No prior knowledge of rough path theory is necessary. A general acquaintance with (Schwarz) distributions will be helpful.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail