Generalized eigenvalue-counting estimates for the Anderson model
JM Combes, F Germinet, A Klein�- Journal of Statistical Physics, 2009 - Springer
JM Combes, F Germinet, A Klein
Journal of Statistical Physics, 2009•SpringerWe 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�lder continuous.
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�lder continuous.
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 H�lder continuous.
Springer