On the Spectrum of the Periodic Anderson-Bernoulli Model

William Wood

doi:10.1063/5.0096118

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arXiv · 2203.12233

On the Spectrum of the Periodic Anderson-Bernoulli Model

William Wood

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Abstract

We analyze the spectrum of a discrete Schrodinger operator with a potential given by a periodic variant of the Anderson Model. In order to do so, we study the uniform hyperbolicity of a Schrodinger cocycle generated by the SL(2,R) transfer matrices. In the specific case of the potential generated by an alternating sequence of random values we show that the almost sure spectrum consists of at most 4 intervals.

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William Wood. 2022-03-23. On the Spectrum of the Periodic Anderson-Bernoulli Model. https://doi.org/10.1063/5.0096118

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