  This paper is concerned with the study of solutions to discrete parabolic
equations in divergence form with random coefficients, and their convergence to
solutions of a homogenized equation. It has previously been shown that if the
random environment is translational invariant and ergodic, then solutions of
the random equation converge under diffusive scaling to solutions of a
homogenized parabolic PDE. In this paper point-wise estimates are obtained on
the difference between the averaged solution to the random equation and the
solution to the homogenized equation for certain random environments which are
strongly mixing.
