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arxiv: math/0209091 · v1 · submitted 2002-09-09 · 🧮 math.SP · math.AP

Anderson Localization for Time Periodic Random Schr\"odinger operators

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keywords andersonlocalizationodingerschrassociateddisorderequationsformulation
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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.

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