  In this paper we present a stochastic homogenization result for a class of
Hilbert space evolutionary gradient systems driven by a quadratic dissipation
potential and a $\Lambda$-convex energy functional featuring random and rapidly
oscillating coefficients. Specific examples included in the result are
Allen-Cahn type equations and evolutionary equations driven by the $p$-Laplace
operator with $p\in (1,\infty)$. The homogenization procedure we apply is based
on a stochastic two-scale convergence approach. In particular, we define a
stochastic unfolding operator which can be considered as a random counterpart
of the well-established notion of periodic unfolding. The stochastic unfolding
procedure grants a very convenient method for homogenization problems defined
in terms of ($\Lambda$-)convex functionals.
