Probability seminar: Scaling limits of random fluctuations in homogenization of divergence form operators

Probability seminar: Scaling limits of random fluctuations in homogenization of divergence form operators

Probability Seminar
Apr 8, 2015, 03:10 PM - 04:00 PM | 1011 Evans Hall | Happening As Scheduled
Yu Gu, Stanford University
Recently, quantitative stochastic homogenization of operators in divergence form has witnessed important progress. Our goal is to go beyond the error bound to analyze statistical fluctuations around the homogenized limit. We prove a pointwise two-scale expansion and a large scale central limit theorem. The approach is probabilistic. The main ingredients include the Kipnis-Varadhan method applied...