Scaling limit of the corrector in stochastic homogenization
Journal Article
© Institute of Mathematical Statistics, 2017. 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].
Full Text
Duke Authors
Cited Authors
- Mourrat, JC; Nolen, J
Published Date
- April 1, 2017
Published In
Volume / Issue
- 27 / 2
Start / End Page
- 944 - 959
International Standard Serial Number (ISSN)
- 1050-5164
Digital Object Identifier (DOI)
- 10.1214/16-AAP1221
Citation Source
- Scopus