Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic spectral independence of Wigner ensembles   We consider the joint distribution of eigenvalue clusters of the Wigner
ensemble separated by macroscopic distances (i.e., on the same scale as the
difference between the edges of the semicircle law). We prove that under an
averaging condition, the correlation function governing any finite collection
of clusters converges to that of independence point processes. The proof relies
heavily on the machinery developed by Erdos, Ramirez, Schlein, and Yau.

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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
1
The categories of this paper are: cs