Correlation structure of the corrector in stochastic homogenization - ENS de Lyon - École normale supérieure de Lyon Access content directly
Journal Articles Annals of Probability Year : 2016

Correlation structure of the corrector in stochastic homogenization

Abstract

Recently, the quantification of errors in the stochastic homoge-nization 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.
Fichier principal
Vignette du fichier
correl.pdf (479.2 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

ensl-01401887 , version 1 (23-11-2016)

Identifiers

Cite

Jean-Christophe Mourrat, Felix Otto. Correlation structure of the corrector in stochastic homogenization. Annals of Probability, 2016, 44, pp.3207 - 3233. ⟨10.1214/15-AOP1045⟩. ⟨ensl-01401887⟩
58 View
93 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More