Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Altshuler-Shklovskii Formulas for Random Band Matrices I: the
  Unimodular Case   We consider the spectral statistics of large random band matrices on
mesoscopic energy scales. We show that the two-point correlation function of
the local eigenvalue density exhibits a universal power law behaviour that
differs from the Wigner-Dyson-Mehta statistics. This law had been predicted in
the physics literature by Altshuler and Shklovskii [4]; it describes the
correlations of the eigenvalue density in general metallic samples with weak
disorder. Our result rigorously establishes the Altshuler-Shklovskii formulas
for band matrices. In two dimensions, where the leading term vanishes owing to
an algebraic cancellation, we identify the first non-vanishing term and show
that it differs substantially from the prediction of Kravtsov and Lerner [33].

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The categories of this paper are: eess
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The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg