Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
11/2015

Correlation structure of the corrector in stochastic homogenization

Jean-Christophe Mourrat and Felix Otto

Abstract

Recently, the quantification of errors in the stochastic homogenization of divergence-form operators has witnessed important progress. Our aim now is to go beyond error bounds, and give precise descriptions of the effect of the randomness, in the large-scale limit. This paper is a first step in this direction. Our main result is to identify the correlation structure of the corrector, in dimension 3 and higher. This correlation structure is similar to, but different from that of a Gaussian free field.

Received:
Feb 17, 2015
Published:
Feb 17, 2015
MSC Codes:
35B27, 35J15, 35R60, 82D30
Keywords:
homogenization, random media, two-point correlation function

Related publications

inJournal
2016 Repository Open Access
Jean-Christophe Mourrat and Felix Otto

Correlation structure of the corrector in stochastic homogenization

In: The annals of probability, 44 (2016) 5, pp. 3207-3233