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April 2017 Scaling limit of the corrector in stochastic homogenization
Jean-Christophe Mourrat, James Nolen
Ann. Appl. Probab. 27(2): 944-959 (April 2017). DOI: 10.1214/16-AAP1221

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. Under a minor smoothness assumption on the law of the random coefficients, we identify the scaling limit of the corrector, which is akin to a Gaussian free field. This completes the argument started in [Ann. Probab. 44 (2016) 3207–3233].

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Jean-Christophe Mourrat. James Nolen. "Scaling limit of the corrector in stochastic homogenization." Ann. Appl. Probab. 27 (2) 944 - 959, April 2017. https://doi.org/10.1214/16-AAP1221

Information

Received: 1 March 2015; Revised: 1 April 2016; Published: April 2017
First available in Project Euclid: 26 May 2017

zbMATH: 06758688
MathSciNet: MR3655858
Digital Object Identifier: 10.1214/16-AAP1221

Subjects:
Primary: 35B27, 35J15, 35R60, 60G60

Rights: Copyright © 2017 Institute of Mathematical Statistics

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Vol.27 • No. 2 • April 2017
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