Quantitative homogenization of differential forms

We develop a quantitative theory of stochastic homogenization in general framework involving differential forms. Inspired by recent progress the uniformly elliptic setting, analysis relies on study certain sub- and superadditive quantities. establish an algebraic rate convergence for these quantities error estimate Dirichlet problem. Most ideas needed this article come from two distinct theories, homogenization, generalization main results functional regularity second-order equations to setting