93-190 Jitomirskaya S.

Anderson Localization for the Almost Mathieu Equation: A Nonperturbative Proof. (22K, LaTeX) Jun 21, 93

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Abstract. We prove that for any diophantine rotation angle and a.e. phase the almost Mathieu operator has pure point spectrum with exponentially decaying eigenfunctions if the coupling constant is greater than 15. We also prove the existence of some pure point spectrum for any coupling constant greater than 5.4.

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