  We study stochastic homogenization of a quasilinear parabolic PDE with
nonlinear microscopic Robin conditions on a perforated domain. The focus of our
work lies on the underlying geometry that does not allow standard
homogenization techniques to be applied directly. Instead we prove
homogenization on a regularized geometry and demonstrate afterwards that the
form of the homogenized equation is independent from the regularization. Then
we pass to the regularization limit to obtain the anticipated limit equation.
Furthermore, we show that Boolean models of Poisson point processes are covered
by our approach.
