Arbeitsgemeinschaft: Quantitative Stochastic Homogenization
Antoine Gloria
Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Université, Paris, FranceFelix Otto
Mathematik in den Naturwissenschaften, Leipzig, Germany
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.
Cite this article
Antoine Gloria, Felix Otto, Arbeitsgemeinschaft: Quantitative Stochastic Homogenization. Oberwolfach Rep. 19 (2022), no. 4, pp. 2741–2809
DOI 10.4171/OWR/2022/48