The Spectrum of the Almost Mathieu Operator

Details The Spectrum of the Almost Mathieu Operator The Spectrum of the Almost Mathieu Operator

2009-08-07

arxiv.org/abs/0908.1093v1

Mathematics

Spectral Theory

18 pages. These are the notes for a lecture series given at the University of Bielefeld (CRC 701) in June/July 2008. They are

Scientific paper

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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