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Published online: 2013-02-20
Arbeitsgemeinschaft: Quasiperiodic Schrödinger OperatorsArtur Avila, David Damanik and Svetlana Jitomirskaya (1) Université Pierre et Marie Curie, Paris, France
(2) Rice University, Houston, United States
(3) University of California, Irvine, United States
This Arbeitsgemeinschaft discussed the spectral properties of quasi-periodic Schrödinger operators in one space dimension. After presenting background material on Schrödinger operators with dynamically defined potentials and some results about certain classes of dynamical systems, the recently developed global theory of analytic one-frequency potentials was discussed in detail. This was supplemented by presentations on an important special case, the almost Mathieu operator, and results showing phenomena exhibited outside the analytic category.
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Avila Artur, Damanik David, Jitomirskaya Svetlana: Arbeitsgemeinschaft: Quasiperiodic Schrödinger Operators. Oberwolfach Rep. 9 (2012), 1035-1106. doi: 10.4171/OWR/2012/17