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arXiv · 1308.4562

On the local eigenvalue spacings for certain Anderson-Bernoulli Hamiltonians

Jean Bourgain
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Abstract

The aim of this work is to extend the results from [B2] on local eigenvalue spacings to certain 1D lattice Schrodinger with a Bernoulli potential. We assume the disorder satisfies a certain algebraic condition that enables one to invoke the recent results from [B1] on the regularity of the density of states. In particular we establish Poisson local eigenvalue statistics in those models

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Jean Bourgain. 2013-08-21. On the local eigenvalue spacings for certain Anderson-Bernoulli Hamiltonians. https://arxiv.org/abs/1308.4562

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