David Damanik
Dynamical Upper Bounds for One-Dimensional Quasicrystals
(45K, LaTeX)

ABSTRACT.  Following the Killip-Kiselev-Last method, we prove quantum dynamical upper bounds for discrete one-dimensional Schr\"odinger operators with Sturmian potentials. These bounds hold for sufficiently large coupling, almost every rotation number, and every phase. 
(This paper extends and replaces mp-arc/01-459.)