We consider the homogenization of nonlinear random parabolic operators. Depending on the ratio between time and spatial scales different homogenization regimes are studied and the homogenization procedure is carried out. The parameter dependent auxiliary problem is investigated and used in the construction of the homogenized operator.
"Homogenization of nonlinear random parabolic operators." Adv. Differential Equations 10 (11) 1235 - 1260, 2005.