One-dimensional Discrete Anderson Model in a Decaying Random Potential: from a.c. Spectrum to Dynamical Localization

Olivier Bourget, Gregorio R. Moreno Flores, Amal Taarabt

We consider a one-dimensional Anderson model where the potential decays in average like $n^{-\alpha }$, $\alpha >0$. This simple model is known to display a rich phase diagram with different k…