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arXiv · 1307.6867

An application of group expansion to the Anderson-Bernoulli model

Jean Bourgain
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Abstract

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

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Jean Bourgain. 2013-07-25. An application of group expansion to the Anderson-Bernoulli model. https://arxiv.org/abs/1307.6867

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