O ct 2 00 2 ANDERSON LOCALIZATION FOR TIME QUASI PERIODIC RANDOM SCHÖDINGER AND WAVE OPERATORS
نویسنده
چکیده
We prove that at large disorder, with large probability and for a set of Diophantine frequencies of large measure, Anderson localization in Z is stable under localized time-quasi-periodic perturbations by proving that the associated quasi-energy operator has pure point spectrum. The main tools are the Fröhlich-Spencer mechanism for the random component and the Bourgain-Goldstein-Schlag mechanism for the quasi-periodic component. The formulation of this problem is motivated by questions of Anderson localization for non-linear Schrödinger equations.
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