Results dealing with the behavior of the integrated density of states of random divergence operators

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 $H\_\omega =\sum \_{i,j=1}^d\partial \_x\_ia\_i,j(\omega ,x)\partial \_x\_j$ ; on the internal band edges of the spectrum. We propose an application of such a result to get localization.

20 pages