Physics – Mathematical Physics
Scientific paper
2008-04-21
Physics
Mathematical Physics
Minor revision
Scientific paper
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 H\"older continuous.
Combes Jean-Michel
Germinet François
Klein Abel
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