Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Center of mass distribution of the Jacobi unitary ensembles: Painleve V,
  asymptotic expansions   In this paper, we study the probability density function,
$\mathbb{P}(c,\alpha,\beta, n)\,dc$, of the center of mass of the finite $n$
Jacobi unitary ensembles with parameters $\alpha\,>-1$ and $\beta >-1$; that is
the probability that ${\rm tr}M_n\in(c, c+dc),$ where $M_n$ are $n\times n$
matrices drawn from the unitary Jacobi ensembles. We first compute the
exponential moment generating function of the linear statistics
$\sum_{j=1}^{n}\,f(x_j):=\sum_{j=1}^{n}x_j,$ denoted by
$\mathcal{M}_f(\lambda,\alpha,\beta,n)$.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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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: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ