Quantitative results in elliptic homogenization
Location: Hill 705
Date & time: Tuesday, 04 October 2016 at 1:40PM -
I will discuss recent results in stochastic homogenization of divergence-form elliptic equations and connections to problems in probability theory. In particular, I will focus on the new higher regularity theory in homogenization-- which roughly says that solutions of equations with random coefficients have much better regularity than solutions of equations with generic coefficients-- and the important role it plays in a new renormalization argument which leads to optimal quantitative estimates and scaling limits.