Math @ Duke
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Publications [#316609] of James H. Nolen
Papers Published
- Nolen, J; Mourrat, J-C, Scaling limit of the corrector in stochastic homogenization,
Annals of Applied Probability, vol. 27 no. 2
(2017),
pp. 944-959, Institute of Mathematical Statistics (IMS), ISSN 1050-5164 [arXiv:1502.07440], [1502.07440], [doi]
(last updated on 2024/04/23)
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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