Special Seminar in Applied Mathematics

Thursday December 5, 2013 4:00 PM

Quantitative Results on the Corrector Equation in Stochastic Homogenization.

Speaker: Professor Antoine Gloria, Department of Mathematics, Université Libre de Bruxelles
Location: Annenberg 213

In this talk I shall address the issue of existence of stationary correctors in stochastic homogenization of linear elliptic equations in divergence form.  I shall prove that under the assumption that a spectral gap estimate holds in probability, a stationary corrector exists in dimension larger than 2. I shall also derive various additional estimates on the corrector and on its approximations, including a CLT-like scaling for spatial averages of the energy density of the corrector.

This is joint work with Felix Otto (MPI Leipzig).

Series Special Seminars in Applied Mathematics

Contact: Carmen Nemer-Sirois at 4561 carmens@caltech.edu