  Stochastic processes described by evolution equations in the universality
class of the FKPP equation may be approximately factorized into a linear
stochastic part and a nonlinear deterministic part. We prove this factorization
on a model with no spatial dimensions and we illustrate it numerically on a
one-dimensional toy model that possesses some of the main features of high
energy QCD evolution. We explain how this procedure may be applied to QCD
amplitudes, by combining Salam's Monte-Carlo implementation of the dipole model
and a numerical solution of the Balitsky-Kovchegov equation.
