Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hard edge tail asymptotics   Let $\Lambda$ be the limiting smallest eigenvalue in the general (\beta,
a)-Laguerre ensemble of random matrix theory. Here \beta>0, a >-1; for
\beta=1,2,4 and integer a, this object governs the singular values of certain
rank n Gaussian matrices. We prove that P(\Lambda > \lambda) = e^{- (\beta/2)
\lambda + 2 \gamma \lambda^{1/2}} \lambda^{- (\gamma(\gamma+1))/(2\beta) +
\gamma/4} E (\beta, a) (1+o(1)) as \lambda goes to infinity, in which \gamma =
(\beta/2) (a+1)-1 and E(\beta, a) is a constant (which we do not determine).
This estimate complements/extends various results previously available for
special values of \beta and a.

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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: econ
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas