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Asymptotic freeness of independent Haar distributed unitary matrices was discovered by Voiculescu.
Explicit constructions of expanders
G. A. Margulis · 1973
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Compact Lie groups and their representations
D. P. Želobenko · 1973
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Methods of modern mathematical physics. IV. Analysis of operators
M. Reed and B. Simon · 1978
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The eigenvalues of random symmetric matrices
Z. Füredi and J. Komlós · 1981
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Ramanujan graphs
A. Lubotzky, R. Phillips, and P. Sarnak · 1988
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C ∗ C^{*} -algebras and operator theory
G. J. Murphy · 1990
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Limit laws for random matrices and free products
D. Voiculescu · 1991
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Asymptotically free families of random unitaries in symmetric groups
A. Nica · 1993
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The action of a few random permutations on r-tuples and an application to cryptography
J. Friedman, A. Joux, Y. Roichman, J. Stern, and J. P. Tillich · 1996
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A simple proof of a theorem of Kirchberg and related results on C ∗ C^{*} -norms
G. Pisier · 1996
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Gaussian Hilbert spaces
S. Janson · 1997
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A strengthened asymptotic freeness result for random matrices with applications to free entropy
D. Voiculescu · 1998
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Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability
B. Collins · 2003
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A new application of random matrices: Ext ( C red ∗ ( F 2 ) ) {\rm Ext}(C^{*}_{\rm red}(F_{2})) is not a group
U. Haagerup and S. Thorbjørnsen · 2005
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Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
B. Collins and P. Śniady · 2006
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How many entries of a typical orthogonal matrix can be approximated by independent normals?
T. Jiang · 2006
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Random unitaries give quantum expanders
Gaussianization and eigenvalue statistics for random quantum channels (III)
B. Collins and I. Nechita · 2011
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Jucys-Murphy elements and unitary matrix integrals
S. Matsumoto and J. Novak · 2013
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The strong asymptotic freeness of Haar and deterministic matrices
B. Collins and C. Male · 2014
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Quantum expanders and geometry of operator spaces
G. Pisier · 2014
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Alice and Bob meet Banach
G. Aubrun and S. Szarek · 2017
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∗ \ast -freeness in finite tensor products
B. Collins and P. Y. Gaudreau Lamarre · 2017
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M. B. Hastings · 2007
Cited alongside, same era.
Quantum expanders from any classical Cayley graph expander
A. W. Harrow · 2008
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Symmetry, representations, and invariants
R. Goodman and N. R. Wallach · 2009
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Classical and quantum tensor product expanders
M. B. Hastings and A. W. Harrow · 2009
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Spectral theory in Hilbert spaces
E. Kowalski · 2009
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An introduction to random matrices
G. W. Anderson, A. Guionnet, and O. Zeitouni · 2010
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A new proof of Friedman’s second eigenvalue theorem and its extension to random lifts
C. Bordenave
Cited in the paper.
B. Collins and S. Matsumoto · 2017
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Free probability and random matrices
J. A. Mingo and R. Speicher · 2017
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Euclidean distance between Haar orthogonal and Gaussian matrices
C. E. González-Guillén, C. Palazuelos, and I. Villanueva · 2018
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Eigenvalues of random lifts and polynomials of random permutation matrices
C. Bordenave and B. Collins · 2019
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