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The asymptotic freeness of independent unitarily invariant $N\times N$ random matrices holds in expectation up to $O(N^{-2})$.
U ( N ) U(N) Integrals, 1 / N 1/N , and the De Wit–’t Hooft anomalies
Stuart Samuel · 1980
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The eigenvalues of random symmetric matrices
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Symmetries of some reduced free product C ∗ C^{*} -algebras
Dan Voiculescu · 1985
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Limit laws for random matrices and free products
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Limit laws for random matrices and free products
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Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
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Jinho Baik, Gérard Ben Arous, and Sandrine Péché · 2005
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Cumulants for random matrices as convolutions on the symmetric group
M. Capitaine and M. Casalis · 2006
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Multiplicative monotone convolutions, in ”quantum probability”
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Alexandru Nica and Roland Speicher · 2006
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S. Péché · 2006
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On asymptotics of eigenvectors of large sample covariance matrix
ZD Bai, BQ Miao, and GM Pan · 2007
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C-free convolution of measures with unbounded support
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M. Capitaine and M. Casalis · 2008
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An introduction to random matrices
Greg W Anderson, Alice Guionnet, and Ofer Zeitouni · 2010
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Maxime Février and Alexandru Nica · 2010
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The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
Florent Benaych-Georges and Raj Rao Nadakuditi · 2011
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Joël Bun and A Knowles · 2018
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M. Capitaine and C. Donati-Martin · 2018
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Benoît Collins, Takahiro Hasebe, and Noriyoshi Sakuma · 2018
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Non-crossing annular pairings and the infinitesimal distribution of the goe
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Cleaning large-dimensional covariance matrices for correlated samples
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Cyclic independence: Boolean and monotone
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