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].
Original language | English (US) |
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Pages (from-to) | 944-959 |
Number of pages | 16 |
Journal | Annals of Applied Probability |
Volume | 27 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2017 |
Keywords
- Gaussian free field
- Scaling limit
- Stochastic homogenization
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty