Jean-Michel Combes, François Germinet, Abel Klein
Published 2008-04-21, updated 2009-03-19Version 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 H\"older continuous.
Simplicity of eigenvalues in the Anderson model
On Mott's formula for the ac-conductivity in the Anderson model
The conductivity measure for the Anderson model
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