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math.AP2021
Fluctuation estimates for the multi-cell formula in stochastic homogenization of partitions
Annika Bach, Matthias Ruf
In this paper we derive quantitative estimates in the context of stochastic homogenization for integral functionals defined on finite partitions, where the random surface integrand…
math.AP2021
-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals
Annika Bach, Roberta Marziani, Caterina Ida Zeppieri
We study the limit behaviour of singularly-perturbed elliptic functionals of the form \[ \mathcal F_k(u,v)=\int_A v^2\,f_k(x,\nabla u)dx+\frac{1}{\varepsilon_k}\int_A g_k(x,v,\vare…