Normal approximation for a random elliptic equation

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Lipschitz Regularity for Elliptic Equations with Random Coefficients (2014, background): “This more general variational principle first appeared in special cases in the work of Brezis and Ekeland [9] and Neyroles [35].”
A short survey of Stein's method (2014, background): “Second order Poincaré inequalities have been useful in several subsequent works, e.g. in Nourdin, Peccati and Reinert [62], Nolen [59], etc.”
Quantitative stochastic homogenization of convex integral functionals (2014, background): “For some recent work on limit theorems for the stochastic fluctuations, see [23, 22, 25, 27, 4].”
Annealed estimates on the Green function (2013, methodology): “The latter result has been obtained by three different techniques: Nolen [25] gives a quantitative estimate based on a differential characterization of Gaussian distributions (second-order Poincaré inequality) and relies on the corrector estimates from [12, Theorem 2.1].”
Quantitative Stochastic Homogenization and Large-Scale Regularity (2017, background): “The first results showing that the fluctuations of spatial averages of the energy density of the corrector have Gaussian fluctuations were obtained in [101, 109, 25, 102, 64].”
The additive structure of elliptic homogenization (2016, methodology): “Later, central limit theorems for the spatial averages of the gradients and the energy densities of the correctors were obtained using these techniques [34, 31, 30, 18].”