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

Hatem Najar

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

Hatem Najar

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

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BibTeX RIS

Hatem Najar. 2005-07-25. Results dealing with the behavior of the integrated density of states of random divergence operators. https://arxiv.org/abs/math/0507385

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