Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Painlev\'e transcendent evaluation of the scaled distribution of the
  smallest eigenvalue in the Laguerre orthogonal and symplectic ensembles   The scaled distribution of the smallest eigenvalue in the Laguerre orthogonal
and symplectic ensembles is evaluated in terms of a Painlev\'e V transcendent.
This same Painlev\'e V transcendent is known from the work of Tracy and Widom,
where it has been shown to specify the scaled distribution of the smallest
eigenvalue in the Laguerre unitary ensemble. The starting point for our
calculation is the scaled $k$-point distribution of every odd labelled
eigenvalue in two superimposed Laguerre orthogonal ensembles.

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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn