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

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

2005-07-19

arxiv.org/abs/math/0507385v2

Mathematics

Spectral Theory

20 pages

Scientific paper

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.

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