Results dealing with the behavior of the integrated density of states of random divergence operators
Abstract
Description
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 $H\_ω=\sum\_{i,j=1}^d\partial\_{x\_{i}}a\_{i,j}(ω,x)\partial\_{x\_j}$ ; on the internal band edges of the spectrum. We propose an application of such a result to get localization.
20 pages
20 pages