\frac{Du^{\varepsilon}\otimes Du^{\varepsilon}}{\left|Du^{\varepsilon}\right|^2} \right)D^2u^{\varepsilon}\right) + a\left(\frac x{\varepsilon}\right) \left| Du^{\varepsilon}\right| = 0 \quad \mbox{in} \ {\mathbb{R}^d}\times (0,\infty),$$ where the forcing field $a$ is positive, Lipschitz, bounded and satisfies $$\label{e.MCMcondition}
 \inf_{x\in{\mathbb{R}^d}} \left( a^2(x) - (d-1) \left|Da(x) \right| \right) >0  \quad \mbox{${\mathbb{P}}$--a.s.}$$ The level sets of solutions of  follow a generalized evolution with normal velocity ${\varepsilon}\kappa + a\left( \tfrac x{\varepsilon}\right)$, where $\kappa$ represents the mean curvature of the surface. In this context, the limiting homogenized equation takes the form $$\label{e.MCMbar}
\partial_t u + \overline a\left( \frac{Du}{|Du|} \right)|Du| = 0,$$ where $\overline a:\partial B_1 \to {\mathbb{R}}$ is a positive function which describes the velocity of level sets of $u$ and thus the effective velocity of the original flow. The homogenization of  in the random setting has been an open problem for some time; its importance was recently highlighted in the recent review article [@C] (see page 773). The condition  was introduced in [@LS0] in the context of periodic homogenization of  and its role is to ensure the Lipschitz regularity of solutions (roughly speaking, it is the condition under which the Bernstein method for estimating $\|Du^{\varepsilon}\|_{L^\infty}$ is applicable). It was recently shown in [@CM] to be necessary for homogenization to hold, in general, even in that 