Recherche

The team has three main research directions:

1. Statics in random media
   1. quantitative stochastic homogenization theory
   2. localization/delocalization properties in random environments
   3. rigorous derivation on nonlinear elasticity theory from polymer physics
   4. statistical physics at T=0
2. Dynamics in random media
   1. quenched invariance principles for random processes
   2. Schrödinger equation with random potentials or random initial data
   3. stochastic homogenizaton of Allen-Cahn or Ginzburg-Landau functionals
   4. non-equilibrium statistical mechanics
3. Numerics in random media
   1. physically-based constitutive laws for rubber
   2. diffusion in heterogeneous media
   3. Schrödinger equation with random potentials and random data