Homogenization of stiff inclusions through network approximation

Mathphys Analysis Seminar

The homogenization of a conductive medium randomly perforated with inclusions of infi-
nite conductivity is a well-known problem thanks to the work of Vassili Zhikov. However,
the existence of an effective model is shown under assumptions on the interparticle dis-
tance, which prevents the study of clusters and dense setting. In this talk of stochastic
homogenization, we will provide a relaxed criterion ensuring homogenization relying on
ideas from network approximation. This is joint work with David Gérard-Varet from Université Paris-Cité.