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Anderson localization for the 1-D discrete Schrödinger operator with two-frequency potential. (English) Zbl 0743.60058

Summary: We prove the complete exponential localization of eigenfunctions for the 1-D discrete Schrödinger operators with quasi-periodic potentials having two basic frequencies. It is shown also that for such operators there are no forbidden zones in the spectrum, unlike the operators with one basic frequency.

MSC:

60H25 Random operators and equations (aspects of stochastic analysis)
34F05 Ordinary differential equations and systems with randomness
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