Scaling limit of the corrector in stochastic homogenization

2015/02/26 by Jean-Christophe Mourrat, Mourrat, Jean-Christophe, James Nolen +1
Computer Science · Engineering · Mathematics · #35B27 #35J15 #35R60 #82D30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Fractional Differential Equations Solutions #Probability (math.PR) #math.AP #math.PR #msc:35B27 #msc:35J15 #msc:35R60 #msc:82D30

paper · pdf · doi:10.48550/arxiv.1502.07440

11 pages

arxiv created 2015/02/26 · openalex publication_date 2015/02/26 · arxiv updated 2015/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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. Completing the argument started in previous work, we identify the scaling limit of the corrector, which is akin to a Gaussian free field.

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