Arbeitsgemeinschaft: Quantitative Stochastic Homogenization

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48

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Oberwolfach reports : OWR

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Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach

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Abstract

Homogenization means approximating the effective, i.e. macroscopic, behavior of a heterogeneous medium by a homogeneous one, which amounts to a substantial conceptual and practical reduction of complexity. Stochastic homogenization means that one is considering an ensemble of, i.e. a probability measure on, such heterogeneities (typically expressing a lack of knowledge of the details); and that the effective behavior is also deterministic next to being homogeneous. The aim of this Arbeitsgemeinschaft is to present the recent progress in this field.

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