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arxiv: 1307.6867 · v1 · submitted 2013-07-25 · 🧮 math.AP

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An application of group expansion to the Anderson-Bernoulli model

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keywords lambdaalgebraicanderson-bernoulliapplicationawayclassdensityenergy
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We establish smoothness of the density of states for 1D lattice Schrodinger operators with potential taking values $\pm\lambda$, for $\lambda$ in a class of small algebraic numbers and energy $E\in)-2, 2($ suitably restricted away from $\pm2$.

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