Rate of convergence of a two-scale expansion for some "weakly"   stochastic homogenization problems
  We establish a rate of convergence of the two scale expansion (in the sense of homogenization theory) of the solution to a highly oscillatory elliptic partial differential equation with random coefficients that are a perturbation of periodic coefficients. 
C. Le Bris, F. Legoll, F. Thomines
math.AP