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Open Access Publications from the University of California

Generalized Eigenvalue-Counting Estimates for the Anderson Model

  • Author(s): Combes, Jean-Michel
  • Germinet, François
  • Klein, Abel
  • et al.

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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