  We consider Schr\"odinger operators in $\ell^2(\Z)$ whose potentials are
obtained by randomly concatenating words from an underlying set $\mathcal{W}$
according to some probability measure $\nu$ on $\mathcal{W}$. Our assumptions
allow us to consider models with local correlations, such as the random dimer
model or, more generally, random polymer models. We prove spectral localization
and, away from a finite set of exceptional energies, dynamical localization for
such models. These results are obtained by employing scattering theoretic
methods together with Furstenberg's theorem to verify the necessary input to
perform a multiscale analysis.
