Paracontrolled distributions and SPDEs

  • Massimiliano Gubinelli (Université Paris-Dauphine, France)
A3 01 (Sophus-Lie room)


I will explain how ideas from the theory of non-linear waves, namely the paradifferential calculus of Bony, can be used to tackle problems in the theory of SPDEs and more generally for problems involving non-linear operation on distributions. These methods are suitable to solve problems going from differential equations driven by rough paths to the parabolic Anderson model in 2 dimensions, the Kardar-Parisi-Zhang equation, the equation of stochastic quantisation in 3d. If time permits we will may out also links with the recent theory of regularity structures of M. Hairer.

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
  • Jul 16, 2024 tba with Michael Loss