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Decorrelation estimates for a 1D tight binding model in the localized regime

Published 17 Dec 2012 in math-ph and math.MP | (1212.3991v3)

Abstract: In this article, we prove decorrelation estimates for the eigenvalues of a 1D discrete tight binding model near two distinct energies in the localized regime. Consequently, with an arbitrary, fixed number n, the asymptotic independence for local level statistics near n distinct energies is obtained.

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