Hard wall repulsion for the discrete Gaussian free field in random environment on ${\mathbb{Z}}^d$, $d\ge 3$

Alberto Chiarini, Emanuele Pasqui

We study the discrete Gaussian free field (harmonic crystal) on ${\mathbb{Z}}^d$, $d\ge 3$, with uniformly elliptic and bounded random conductances sampled according to a sufficient…