Skip to main content
eScholarship
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.
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.

Many UC-authored scholarly publications are freely available on this site because of the UC Academic Senate's Open Access Policy. Let us know how this access is important for you.

Main Content
Current View