Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder

Abstract

Consider uniformly elliptic random walk on ${\mathbb{Z}}^d$ with independent jump rates across nearest neighbour bonds of the lattice. We show that the infinite volume effective diffusion matrix can be almost surely recovered as the limit of finite volume periodized effective diffusion matrices.

17 pages

Cited by in corpus (5)

• An optimal error estimate in stochastic homogenization of discrete elliptic equations
• Recent progress on the Random Conductance Model
• Correlation structure of the corrector in stochastic homogenization
• Noise-stability and central limit theorems for effective resistance of random electric networks
• A central limit theorem for the effective conductance: Linear boundary data and small ellipticity contrasts