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math.SP2011★ 11 cited
A Short Course on One-Dimensional Random Schrödinger Operators
David Damanik
We discuss various approaches to localization results for one-dimensional random Schrödinger operators, both discrete and continuum. We focus in particular on the approach based on…
math.SP2009★ 7 cited
The Spectrum of the Almost Mathieu Operator
David Damanik
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 th…
math.SP2008★ 6 cited
Schrödinger Operators Defined by Interval Exchange Transformations
Jon Chaika, David Damanik, Helge Krueger
We discuss discrete one-dimensional Schrödinger operators whose potentials are generated by an invertible ergodic transformation of a compact metric space and a continuous real-val…