The Spectrum of the Almost Mathieu Operator

David Damanik

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arXiv · 0908.1093

The Spectrum of the Almost Mathieu Operator

David Damanik

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Abstract

These notes are based on a series of six lectures, given during my stay at the CRC 701 in June/July 2008. The lecture series intended to give a survey of some of the results for the almost Mathieu operator that have been obtained since the early 1980's. Specifically, the metal-insulator transition is discussed in detail, along with its relation to the ten Martini problem via duality and reducibility.

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BibTeX RIS

David Damanik. 2009-08-07. The Spectrum of the Almost Mathieu Operator. https://arxiv.org/abs/0908.1093

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