J. Holt, S. Molchanov, O. Safronov
Cwikel and Quasi-Szeg\"o type estimates for random operators
(161K, pdf)

ABSTRACT.  We consider Schrodinger operators with nonergodic random potentials. 
Specifically, we are interested in eigenvalue estimates and estimates of the entropy for the absolutely continuous part of the spectral measure. We prove that increasing oscillations 
of the potential at infinity have the same effect on the properties 
of the spectrum as the decay of the potential.