Math @ Duke

Publications [#316609] of James H. Nolen
Papers Submitted
 Mourrat, JC; Nolen, J, Scaling limit of the corrector in stochastic homogenization,
The annals of applied probability : an official journal of the Institute of Mathematical Statistics, vol. 27 no. 2
(April, 2017),
pp. 944959, Institute of Mathematical Statistics (IMS), ISSN 10505164 [arXiv:1502.07440], [1502.07440], [doi]
(last updated on 2018/03/22)
Abstract: © Institute of Mathematical Statistics, 2017.In the homogenization of divergenceform 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) 32073233].


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