Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Outliers in the spectrum of iid matrices with bounded rank perturbations   It is known that if one perturbs a large iid random matrix by a bounded rank
error, then the majority of the eigenvalues will remain distributed according
to the circular law. However, the bounded rank perturbation may also create one
or more outlier eigenvalues. We show that if the perturbation is small, then
the outlier eigenvalues are created next to the outlier eigenvalues of the
bounded rank perturbation; but if the perturbation is large, then many more
outliers can be created, and their law is governed by the zeroes of a random
Laurent series with Gaussian coefficients. On the other hand, these outliers
may be eliminated by enforcing a row sum condition on the final matrix.

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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
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The categories of this paper are: quant-ph