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