  We consider periodic homogenisation problems for gPAM, $\Phi^{4}_{3}$ and
modified KPZ equations. Using Littlewood-Paley blocks, we establish
para-products and commutator estimates for generalised Besov spaces associated
with self-adjoint elliptic operators. With this, we show that, the
homogenisation and renormalisation procedures commute in aforementioned models
under suitable assumptions.
