An optimal variance estimate in stochastic homogenization of discrete elliptic equations
An optimal variance estimate in stochastic homogenization of discrete elliptic equations
We consider a discrete elliptic equation on the $d$-dimensional lattice $\mathbb{Z}^d$ with random coefficients $A$ of the simplest type: they are identically distributed and independent from edge to edge. On scales large w.r.t. the lattice spacing (i.e., unity), the solution operator is known to behave like the solution operator of …