Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Density of states for almost diagonal random matrices   We study the density of states (DOS) for disordered systems whose spectral
statistics can be described by a Gaussian ensemble of almost diagonal Hermitian
random matrices. The matrices have independent random entries $ H_{i \geq j}
  $ with small off-diagonal elements: $ <|H_{i \neq j}|^{2} > \ll <|H_{ii}|^{2}
> \sim 1 $. Using the recently suggested method of a {\it virial expansion in
the number of interacting energy levels} (Journ.Phys.A {\bf 36}, 8265), we
calculate the leading correction to the Poissonian DOS in the cases of the
Gaussian Orthogonal and Unitary Ensembles. We apply the general formula to the
critical power-law banded random matrices and the unitary
Moshe-Neuberger-Shapiro model and compare DOS of these models.

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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: eess