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.