Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular values of large non-central random matrices   We study largest singular values of large random matrices, each with mean of
a fixed rank $K$. Our main result is a limit theorem as the number of rows and
columns approach infinity, while their ratio approaches a positive constant. It
provides a decomposition of the largest $K$ singular values into the
deterministic rate of growth, random centered fluctuations given as explicit
linear combinations of the entries of the matrix, and a term negligible in
probability. We use this representation to establish asymptotic normality of
the largest singular values for random matrices with means that have block
structure. We also deduce asymptotic normality for the largest eigenvalues of
the normalized covariance matrix arising in a model of population genetics.

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The categories of this paper are: cs
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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
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The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph