Quantitative theory in stochastic homogenization

Antoine Gloria 1, 2 Felix Otto 3
2 MEPHYSTO - Quantitative methods for stochastic models in physics
LPP - Laboratoire Paul Painlevé - UMR 8524, ULB - Université Libre de Bruxelles [Bruxelles], Inria Lille - Nord Europe
Abstract : This article corresponds to a course given by F. Otto at the summer school CEMRACS 2013 in Luminy, France. It is based on a contribution by the authors [GO], which is a continuum version of [Gloria & Otto, Annals of Probability, 2011]. It slightly differs from [GO] because the present analysis does not rely on Green's functions and treats periodic approximations. As opposed to [GO], we also treat non-symmetric coefficients.
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Antoine Gloria, Felix Otto. Quantitative theory in stochastic homogenization. 2014. ⟨hal-00933251⟩

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