Paracontrolled distributions and the KPZ equation

  • Nicolas Perkowski (Université Paris Dauphine, CEREMADE, France)
A3 01 (Sophus-Lie room)


Paracontrolled distributions combine the Fourier techniques of Bony's paradifferential calculus with ideas from the theory of controlled rough paths. This leads to a lightweight calculus for distributions that allows to handle nonlinear operations involving very irregular objects such as white noise, and which allows to give a meaning to and solve singular stochastic partial differential equations. Due to their good continuity properties, paracontrolled distributions are also a powerful tool for studying the convergence of discrete systems to continuum limits. I will present the basic ideas and techniques of paracontrolled distributions and how to apply them to solve the KPZ equation and to prove that it is the limit of the Sasamoto-Spohn discretization. This is joint work with Massimiliano Gubinelli and Peter Imkeller.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 12, 2024 tba with Theresa Simon
  • Mar 26, 2024 tba with Phan Thành Nam
  • Mar 26, 2024 tba with Dominik Schmid
  • May 7, 2024 tba with Manuel Gnann
  • May 14, 2024 tba with Barbara Verfürth
  • May 14, 2024 tba with Lisa Hartung
  • Jun 25, 2024 tba with Paul Dario
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