Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Correlated Jacobi and the Correlated Cauchy-Lorentz ensembles   We calculate the $k$-point generating function of the correlated Jacobi
ensemble using supersymmetric methods. We use the result for complex matrices
for $k=1$ to derive a closed-form expression for eigenvalue density. For real
matrices we obtain the density in terms of a twofold integral that we evaluate
numerically. For both expressions we find agreement when comparing with Monte
Carlo simulations. Relations between these quantities for the Jacobi and the
Cauchy-Lorentz ensemble are derived.

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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: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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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: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: physics