The absolutely continuous spectrum of the almost Mathieu operator

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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 Schrödinger operator problems for the twenty-first century.
22 pages

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Dynamical Systems, Mathematical Physics, Spectral Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/171669

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.2965
 http://arxiv.org/abs/0810.2965

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arXiv