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The absolutely continuous spectrum of the almost Mathieu operator
Published 16 Oct 2008 in math.DS, math-ph, math.MP, and math.SP | (0810.2965v1)
Abstract: We prove that the spectrum of the almost Mathieu operator is absolutely continuous if and only if the coupling is subcritical. This settles Problem 6 of Barry Simon's list of Schr\"odinger operator problems for the twenty-first century.
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