Exponential Dynamical Localization for Random Word Models

Abstract We show that one-dimensional Schrödinger operators whose potentials arise by randomly concatenating words from an underlying set exhibit exponential dynamical localization (EDL) on any compact which trivially intersects a finite of critical energies. do so first giving new proof spectral for such and then showing once one has the existence complete orthonormal basis eigenfunctions (with probability one), same estimates used to prove it naturally lead aforementioned EDL result. The statements provide results several classes random including polymer models generalized Anderson models.