Titre de la rencontre: Quantitative stochastic homogenization
10:30--11:30 J-C. Mourrat - 11:45--12:45 S. Armstrong
14:30--15:30 S. Armstrong - 16:00--17:00 J.-C. Mourrat
Abstract: We will discuss large-scale asymptotics of solutions of elliptic equations (in divergence form) with random coefficients. This is closely related to reversible diffusions in random environments, since random elliptic operators are generators of such diffusions. We will focus on identifying the optimal rate of convergence for homogenization and ultimately describe the law of the fluctuations of solutions. The proof is essentially a renormalization argument in which we progressively ``coarsen the coefficient field'' over larger and larger scales.