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Quantitative estimates in stochastic homogenization for correlated coefficient fields

Quantitative estimates in stochastic homogenization for correlated coefficient fields

This paper is about the homogenization of linear elliptic operators in divergence form with stationary random coefficients that have only slowly decaying correlations.It deduces optimal estimates of the homogenization error from optimal growth estimates of the (extended) corrector.In line with the heuristics, there are transitions at dimension d = 2, …