Quenched invariance principles for the random conductance model on a random graph with degenerate ergodic weights

Jean-Dominique Deuschel, Tuan Anh Nguyen, Martin Slowik

We consider a stationary and ergodic random field $\{\omega (e):e\in E_d\}$ that is parameterized by the edge set of the Euclidean lattice ${\mathbb{Z}}^d$, $d\ge 2$. The random varia…