arXiv:1502.07440 Abstract | arXiv Analytics

arXiv:1502.07440 [math.AP]Abstract References Reviews Resources

Scaling limit of the corrector in stochastic homogenization

Published 2015-02-26Version 1

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.

Comments: 11 pages

Categories: math.AP, math.PR

Subjects: 35B27, 35J15, 35R60, 82D30

Keywords: scaling limit, stochastic homogenization, gaussian free field, central role, divergence-form equations

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