The Spectrum of the Almost Mathieu Operator

David Damanik

The Spectrum of the Almost Mathieu Operator

Spectral Theory 2009-08-10 v1

Authors: David Damanik

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.

Keywords

lecture notes

Cite

@article{arxiv.0908.1093,
  title  = {The Spectrum of the Almost Mathieu Operator},
  author = {David Damanik},
  journal= {arXiv preprint arXiv:0908.1093},
  year   = {2009}
}

Comments

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

The Spectrum of the Almost Mathieu Operator

Abstract

Keywords

Cite

Comments

Related papers