Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spacings in Orthogonal and Symplectic Random Matrix Ensembles   We consider the universality of the nearest neighbour eigenvalue spacing
distribution in invariant random matrix ensembles. Focussing on orthogonal and
symplectic invariant ensembles, we show that the empirical spacing distribution
converges in a uniform way. More precisely, the main result states that the
expected Kolmogorov distance of the empirical spacing distribution from its
universal limit converges to zero as the matrix size tends to infinity.

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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat