@article{Heida2022, 
author = {Martin Heida and Stefan Neukamm and Mario Varga},
title = {Stochastic two-scale convergence and Young measures},
year = {2022},
journal = {Networks and Heterogeneous Media},
volume = {17},
number = {2},
pages = {227-254},
keywords = {stochastic homogenization, unfolding, two-scale convergence, Young measures, weak convergence},
url = {https://www.sciopen.com/article/10.3934/nhm.2022004},
doi = {10.3934/nhm.2022004},
abstract = {In this paper we compare the notion of stochastic two-scale convergence in the mean (by Bourgeat, Mikelić and Wright), the notion of stochastic unfolding (recently introduced by the authors), and the quenched notion of stochastic two-scale convergence (by Zhikov and Pyatnitskii). In particular, we introduce stochastic two-scale Young measures as a tool to compare mean and quenched limits. Moreover, we discuss two examples, which can be naturally analyzed via stochastic unfolding, but which cannot be treated via quenched stochastic two-scale convergence.}
}