Serguei Tcheremchantsev
How to prove dynamical localization
(303K, Postscript)

ABSTRACT.  Let H be a self-adjoint operator on l^2(Z^d) or L^2(R^d) with pure 
point spectrum on some interval I. We establish general necessary and 
sufficient conditions for dynamical localization for a given vector 
and on the interval of energies I. The sufficient conditions we 
obtain improve the existing ones such as SULE or WULE and can be 
useful in applications. This is a revised version of the preprint 
00-261 on mp_arc.