Generalized Eigenvalue-Counting Estimates for the Anderson Model
- Author(s): Combes, Jean-Michel
- Germinet, François
- Klein, Abel
- et al.
Published Web Locationhttps://doi.org/10.1007/s10955-009-9731-3
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.