David Damanik, Andras Suto, Serguei Tcheremchantsev
Power-law Bounds on Transfer Matrices and Quantum Dynamics in One Dimension II.
(62K, LaTeX)

ABSTRACT.  We establish quantum dynamical lower bounds for a number of 
discrete one-dimensional Schr\"odinger operators. These dynamical 
bounds are derived from power-law upper bounds on the norms of 
transfer matrices. We develop further the approach from part I and 
study many examples. Particular focus is put on models with 
finitely or at most countably many exceptional energies for which 
one can prove power-law bounds on transfer matrices. The models 
discussed in this paper include substitution models, Sturmian 
models, a hierarchical model, the prime model, and a class of 
moderately sparse potentials.