An application of group expansion to the Anderson-Bernoulli model

preprint2013arXivOpen access

Abstract

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

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