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We consider the eigenvalues and eigenvectors of finite, low rank perturbations of random matrices.
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Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
J. Baik, G. Ben Arous, and S. Péché · 2005
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Product of random projections, Jacobi ensembles and universality problems arising from free probability
B. Collins · 2005
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Character expansion method for the first order asymptotics of a matrix integral
A. Guionnet and M. Maïda · 2005
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A Fourier view on the R R -transform and related asymptotics of spherical integrals J. Funct. Anal. 222, 2, (2005), 435–490
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Eigenvalues of large sample covariance matrices of spiked population models
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Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
Finite sample approximation results for principal component analysis: a matrix perturbation approach
B. Nadler · 2008
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The polynomial method for random matrices
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An Introduction to Random Matrices
G. Anderson, A. Guionnet, and O. Zeitouni · 2009
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Z. D. Bai, and J. Silverstein. Spectral Analysis of Large Dimensional Random Matrices , Second Edition, Springer, New York, 2009
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