Publications [#316609] of James H. Nolen

Papers Published

1. 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
   (last updated on 2024/04/19)

   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].