Decorrelation estimates for the eigenlevels of the discrete Anderson model in the localized regime

Details Decorrelation estimates for the eigenlevels of the discrete Anderson model in the localized regime Decorrelation estimates for the eigenlevels of the discrete Anderson model in the localized regime

2010-04-08

arxiv.org/abs/1004.1261v2

Physics

Mathematical Physics

Scientific paper

The purpose of the present work is to establish decorrelation estimates for
the locally renormalized eigenvalues of the discrete Anderson model near two
distinct energies inside the localization region. In dimension one, we prove
these estimates at all energies. In higher dimensions, the energies are
required to be sufficiently far apart from each other.

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