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Special Seminar in Applied Mathematics

Thursday, December 5, 2013
4:00pm to 5:00pm
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Annenberg 213
Quantitative Results on the Corrector Equation in Stochastic Homogenization.
Professor Antoine Gloria, Department of Mathematics, Université Libre de Bruxelles,

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).

For more information, please contact Carmen Nemer-Sirois by phone at 4561 or by email at carmens@caltech.edu.