@article{Gérard-Varet2022, 
author = {David Gérard-Varet and Alexandre Girodroux-Lavigne},
title = {Homogenization of stiff inclusions through network approximation},
year = {2022},
journal = {Networks and Heterogeneous Media},
volume = {17},
number = {2},
pages = {163-202},
keywords = {Stochastic homogenization, network approximation, high-contrast media, effective conductivity, random inclusions},
url = {https://www.sciopen.com/article/10.3934/nhm.2022002},
doi = {10.3934/nhm.2022002},
abstract = {We investigate the homogenization of inclusions of infinite conductivity, randomly stationary distributed inside a homogeneous conducting medium. A now classical result by Zhikov shows that, under a logarithmic moment bound on the minimal distance between the inclusions, an effective model with finite homogeneous conductivity exists. Relying on ideas from network approximation, we provide a relaxed criterion ensuring homogenization. Several examples not covered by the previous theory are discussed.}
}