SCALING LIMIT OF THE CORRECTOR IN STOCHASTIC HOMOGENIZATION
成果类型：
Article
署名作者：
Mourrat, Jean-Christophe; Nolen, James
署名单位：
Centre National de la Recherche Scientifique (CNRS); Ecole Normale Superieure de Lyon (ENS de LYON); Duke University
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/16-AAP1221
发表日期：
2017
页码：
944-959
关键词：
摘要：
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].