- 02-44 Avy Soffer, Wei-Min Wang
- Anderson localization for time periodic random Schr\"odinger operators
(217K, ps file)
Feb 3, 02
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Abstract. We prove that at large disorder, Anderson localization in $\Z^d$ is stable under localized time-periodic perturbations by proving that the associated quasi-energy operator has pure point spectrum. The formulation of this problem is motivated by questions of Anderson localization for non-linear Schr\"odinger equations.