Quantitative stochastic homogenization of uniformly convex energy functionals

  • Scott Armstrong (Université de Paris-Dauphine)
A3 01 (Sophus-Lie room)


I will describe a new quantitative approach to stochastic homogenization for elliptic equations in divergence form. This gives the first quantitative results for nonlinear equations, but also new results for linear equations. The idea is to show that the energy of a minimizer spreads evenly over large scales, which can be thought of as a kind of quantitative compensated compactness.

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