Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Additive/multiplicative free subordination property and limiting
  eigenvectors of spiked additive deformations of Wigner matrices and spiked
  sample covariance matrices   When some eigenvalues of a spiked multiplicative resp. additive deformation
model of a Hermitian Wigner matrix resp. a sample covariance matrix separate
from the bulk, we study how the corresponding eigenvectors project onto those
of the perturbation. We point out that the inverse of the subordination
function relative to the free additive resp. multiplicative convolution plays
an important part in the asymptotic behavior.

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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph