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

Abstract

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.

References in corpus (4)

• Fine Structure of the Zeros of Orthogonal Polynomials, I. A Tale of Two Pictures
• Correlations Estimates in the Lattice Anderson Model
• Generalized eigenvalue-counting estimates for the Anderson model
• Spectral statistics for the discrete Anderson model in the localized regime

Cited by in corpus (5)

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• Decorrelation estimates for some continuous and discrete random Schr{ö}dinger operators in dimension one, without covering condition
• Slow dissipation and spreading in disordered classical systems: A direct comparison between numerics and mathematical bounds