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Journal articles
Scaling Limit of Fluctuations in Stochastic Homogenization
Abstract : We investigate the global fluctuations of solutions to elliptic equations with random coefficients in the discrete setting. In dimension d ⩾ 3 and for i.i.d. coefficients, we show that after a suitable scaling, these fluctuations converge to a Gaussian field that locally resembles a (generalized) Gaussian free field. The paper begins with a heuristic derivation of the result, which can be read independently and was obtained jointly with Scott Armstrong.
Cited literature [22 references]
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01401894
Contributor : Jean-Christophe Mourrat <>
Submitted on : Wednesday, November 23, 2016 - 10:37:32 PM
Last modification on : Tuesday, November 19, 2019 - 11:19:34 AM
Document(s) archivé(s) le : Monday, March 20, 2017 - 4:02:18 PM
Contributor : Jean-Christophe Mourrat <>
Submitted on : Wednesday, November 23, 2016 - 10:37:32 PM
Last modification on : Tuesday, November 19, 2019 - 11:19:34 AM
Document(s) archivé(s) le : Monday, March 20, 2017 - 4:02:18 PM
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