Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations
Sublinear growth of the corrector in stochastic homogenization: optimal stochastic estimates for slowly decaying correlations
We establish sublinear growth of correctors in the context of stochastic homogenization of linear elliptic PDEs. In case of weak decorrelation and “essentially Gaussian” coefficient fields, we obtain optimal (stretched exponential) stochastic moments for the minimal radius above which the corrector is sublinear. Our estimates also capture the quantitative sublinearity …