The Spectrum of the Almost Mathieu Operator
arXiv:0908.1093
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.
18 pages. These are the notes for a lecture series given at the University of Bielefeld (CRC 701) in June/July 2008. They are posted here to make them more widely accessible
Cited by in corpus (4)
- Spectra of Discrete Schrödinger Operators with Primitive Invertible Substitution Potentials
- Golden mean renormalization for the almost Mathieu operator and related skew products
- Lattice worldline representation of correlators in a background field
- Asymptotic scaling and universality for skew products with factors in SL(2,R)