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arXiv · 0804.3202

Generalized eigenvalue-counting estimates for the Anderson model

Jean-Michel Combes·François Germinet·Abel Klein
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Abstract

We generalize Minami's estimate for the Anderson model and its extensions to $n$ eigenvalues, allowing for $n$ arbitrary intervals and arbitrary single-site probability measures with no atoms. As an application, we derive new results about the multiplicity of eigenvalues and Mott's formula for the ac-conductivity when the single site probability distribution is Hölder continuous.

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Jean-Michel Combes, François Germinet, Abel Klein. 2009-03-19. Generalized eigenvalue-counting estimates for the Anderson model. https://doi.org/10.1007/s10955-009-9731-3

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