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math.SP2015★ 2 cited
Spectral Properties of Schrödinger Operators With Pattern Sturmian Potentials
David Damanik, Qing-Hui Liu, Yan-Hui Qu
We consider discrete Schrödinger operators with pattern Sturmian potentials. This class of potentials strictly contains the class of Sturmian potentials, for which the spectral pro…
math.SP2015
An Extension of the Kunz-Souillard Approach to Localization in One Dimension and Applications to Almost-Periodic Schrödinger Operators
David Damanik, Anton Gorodetski
We generalize the approach to localization in one dimension introduced by Kunz-Souillard, and refined by Delyon-Kunz-Souillard and Simon, in the early 1980's in such a way that cer…