Hatem NAJAR
Results dealing with the behavior of the integrated density of states of random divergence operators
(790K, ps; dvi; pdf)

ABSTRACT.  In this paper we generalize and improve results proven for 
acoustic operators in \cite{jmp,long}. It deals with the behavior of 
the integrated density of states of random divergence operators of the form 
$H_\omega=\sum_{i,j=1}^d\partial_{x_{i}}a_{i,j}(\omega,x)\partial_{x_j}$; 
 on the internal band edges of the spectrum. We propose an application of 
such a result to get localization.