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Journal Articles Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Year : 2016

Scaling Limit of Fluctuations in Stochastic Homogenization

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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.
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Dates and versions

ensl-01401894 , version 1 (23-11-2016)

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Yu Gu, Jean-Christophe Mourrat. Scaling Limit of Fluctuations in Stochastic Homogenization. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2016, 14, pp.452 - 481. ⟨10.1137/15M1010683⟩. ⟨ensl-01401894⟩
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