Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigenvalues of Hermite and Laguerre ensembles: Large Beta Asymptotics   In this paper we examine the zero and first order eigenvalue fluctuations for
the $\beta$-Hermite and $\beta$-Laguerre ensembles, using the matrix models we
described in \cite{dumitriu02}, in the limit as $\beta \to \infty$. We find
that the fluctuations are described by Gaussians of variance $O(1/\beta)$,
centered at the roots of a corresponding Hermite (Laguerre) polynomial. We also
show that the approximation is very good, even for small values of $\beta$, by
plotting exact level densities versus sum of Gaussians approximations.

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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol