par Gloria, Antoine ;Neukamm, Stefan;Otto, Felix
Référence Analysis and PDE, 14, 8, page (2497-2537)
Publication Publié, 2021-09-01
Article révisé par les pairs
Résumé : This paper is about the homogenization of linear elliptic operators in divergence form with stationaryrandom coefficients that have only slowly decaying correlations. It deduces optimal estimates of thehomogenization error from optimal growth estimates of the (extended) corrector. In line with the heuristics,there are transitions at dimension d = 2, and for a correlation-decay exponent β = 2 we capture thecorrect power of logarithms coming from these two sources of criticality.