Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: No eigenvalues outside the limiting support of the spectral distribution
  of general sample covariance matrices   This paper is to investigate the spectral properties of sample covariance
matrices under a more general population. We consider a class of matrices of
the form $\mathbf S_n=\frac1n\mathbf B_n\mathbf X_n\mathbf X_n^*\mathbf B_n^*$,
where $\mathbf B_n$ is a $p\times m$ non-random matrix and $\mathbf X_n$ is an
$m\times n$ matrix consisting of i.i.d standard complex entries. $p/n\to c\in
(0,\infty)$ as $n\to \infty$ while $m$ can be arbitrary. We proved that under
some mild assumptions, with probability 1, there will be no eigenvalues in any
closed interval contained in an open interval outside the supports of the
limiting distribution $F_{c_n,H_n}$, for all sufficiently large $n$. An
extension of Bai-Yin law is also obtained.

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The categories of this paper are: nlin
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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: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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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: patt-sol
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat