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- W2963458061 abstract "We study a generalization of the notion of Gaussian free field (GFF). Although the extension seems minor, we first show that a generalized GFF does not satisfy the spatial Markov property, unless it is a classical GFF. In stochastic homogenization, the scaling limit of the corrector is a possibly generalized GFF described in terms of an “effective fluctuation tensor” that we denote by $mathsf{Q} $. We prove an expansion of $mathsf{Q} $ in the regime of small ellipticity ratio. This expansion shows that the scaling limit of the corrector is not necessarily a classical GFF, and in particular does not necessarily satisfy the Markov property." @default.
- W2963458061 created "2019-07-30" @default.
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- W2963458061 date "2017-01-01" @default.
- W2963458061 modified "2023-09-24" @default.
- W2963458061 title "On generalized Gaussian free fields and stochastic homogenization" @default.
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- W2963458061 doi "https://doi.org/10.1214/17-ejp51" @default.
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