Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Outlier eigenvalue fluctuations of perturbed iid matrices   It is known that in various random matrix models, large perturbations create
outlier eigenvalues which lie, asymptotically, in the complement of the support
of the limiting spectral density. This paper is concerned with fluctuations of
these outlier eigenvalues of iid matrices $X_n$ under bounded rank and bounded
operator norm perturbations $A_n$, namely with
$\lambda(\frac{X_n}{\sqrt{n}}+A_n)-\lambda(A_n)$. The perturbations we consider
are allowed to be of arbitrary Jordan type and have (left and right)
eigenvectors satisfying a mild condition. We obtain the joint convergence of
the (normalized) asymptotic fluctuations of the outlier eigenvalues in this
setting with a unified approach.

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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: astro-ph