Scaling limit of the corrector in stochastic homogenization
Analysis of PDEs
2015-02-27 v1 Probability
Abstract
In the homogenization of divergence-form equations with random coefficients, a central role is played by the corrector. We focus on a discrete space setting and on dimension 3 and more. Completing the argument started in previous work, we identify the scaling limit of the corrector, which is akin to a Gaussian free field.
Keywords
Cite
@article{arxiv.1502.07440,
title = {Scaling limit of the corrector in stochastic homogenization},
author = {Jean-Christophe Mourrat and James Nolen},
journal= {arXiv preprint arXiv:1502.07440},
year = {2015}
}
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11 pages