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arXiv · 1610.02462

Continuous spectrum for a class of smooth mixing Schr\"odinger operators

Bassam Fayad·Yanhui Qu
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Abstract

We give the first example of a smooth volume preserving mixing dynamical system such that the discrete Schr\"odinger operators on the line defined with a potential generated by this system and a H\"older sampling function, have almost surely a continuous spectrum.

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Bassam Fayad, Yanhui Qu. 2016-10-08. Continuous spectrum for a class of smooth mixing Schr\"odinger operators. https://doi.org/10.1017/etds.2017.26

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