Arbeitsgemeinschaft: Quantitative Stochastic Homogenization

  • Antoine Gloria

    Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Université, Paris, France
  • Felix 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