Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enhanced Wegner and Minami estimates and eigenvalue statistics of random
  Anderson models at spectral edges   We consider the discrete Anderson model and prove enhanced Wegner and Minami
estimates where the interval length is replaced by the IDS computed on the
interval. We use these estimates to improve on the description of finite volume
eigenvalues and eigenfunctions obtained in a previous paper. As a consequence
of the improved description of eigenvalues and eigenfunctions, we revisit a
number of results on the spectral statistics in the localized regime and extend
their domain of validity, namely : - the local spectral statistics for the
unfolded eigenvalues; - the local asymptotic ergodicity of the unfolded
eigenvalues; In dimension 1, for the standard Anderson model, the improvement
enables us to obtain the local spectral statistics at band edge, that is in the
Lifshitz tail regime. In higher dimensions, this works for modified Anderson
models.

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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph