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Nonlinear Analysis

Quantitative results in elliptic homogenization

Location:  Hill 705
Date & time: Tuesday, 04 October 2016 at 1:40PM - 1:41PM

Scott Armstrong, Courant Institute: 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.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
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