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Free probability theory was created by Dan Voiculescu around 1985, motivated by his efforts to understand special classes of von Neumann algebras.
P. Cvitanovic, P.G. Lauwers, and P.N. Scharbach, Nucl. Phys. B 203
1982
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D. Voiculescu, in Operator Algebras and their Connections with Topology and Ergodic Theory
1985
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W. Woess, Bollettino Un. Mat. Ital. 5-B
1986
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D. Voiculescu, Invent. Math. 104
1991
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D. Voiculescu, K. Dykema, and A. Nica, Free Random Variables
1992
Earlier work this paper cites.
H. Bercovici and D. Voiculescu, Indiana Univ. Math. J. 42
1993
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K. Dykema, J. Funct. Anal. 112
1993
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R. Speicher, Publ. RIMS 29
1993
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D. Voiculecu, Comm. Math. Phys. 155
1993
Earlier work this paper cites.
R. Speicher, Math. Ann. 298
1994
Earlier work this paper cites.
D. Voiculescu, Proceedings of the International Congress of Mathematicians, Zürich 1994, 227
1994
Earlier work this paper cites.
D. Voiculescu, Invent. Math. 118
1994
Earlier work this paper cites.
D. Voiculescu, Asterisque 223
1995
Cited alongside, same era.
D. Shlyakhtenko, IMRN 1996 1996
1996
Cited alongside, same era.
G. Ben-Arous and A. Guionnet, Prob. Th. Rel. Fields 108
1997
Cited alongside, same era.
F. Xu, Commun. Math. Phys. 190
1997
Cited alongside, same era.
P. Biane and R. Speicher, Prob. Th. Relat. Fields 112
1998
Cited alongside, same era.
R. Speicher, Combinatorial theory fo the free product with amalgamtion and operator-valued free probability theory
1998
Cited alongside, same era.
H. Bercovici and V. Pata (with an appendix by P. Biane), Ann. of Math. 149
P. Biane, M. Capitaine, and A. Guionnet, Invent. Math. 152
2003
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A. Guionnet, Probab. Surv. 1
2004
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A. Tulino, S. Verdu, Random matrix theory and wirless communications
2004
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U. Haagerup, S. Thorbjørnsen, Ann. of Math. 162
2005
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D. Voiculescu, Reports on Mathematical Physics 55
2005
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A. Guionnet, Proceedings of the International Congress of Mathematicians, Madrid 2006, Vol. III (2006) 623
2006
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A. Nica and R. Speicher, Lectures on the Combinatorics of Free Probability
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1999
Cited alongside, same era.
F. Hiai and D. Petz, The Semicircle Law, Free Random Variables and Entropy
2000
Cited alongside, same era.
D. Voiculescu, in Lectures on Probabiltiy Theory and Statistics (Saint-Flour, 1998)
2000
Cited alongside, same era.
P. Biane, Proceedings of the International Congress of Mathematicians, Beijing 2002, Vol. 2 (2002) 765
2002
Cited alongside, same era.
U. Haagerup, Proceedings of the International Congress of Mathematicians, Beijing 2002, Vol 1 (2002) 273
2002
Cited alongside, same era.
D. Voiculescu, Bulletin of the London Mathematical Society 34
2002
Cited alongside, same era.
2006
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B. Collins, J. Mingo, P. Sniady, and R., Speicher, Documenta Math. 12
2007
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A. Guionnet and D. Shlyakhtenko, preprint, arXiv:math/0701787 (2007)
2007
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R. Rashidi Far, T. Oraby, W. Bryc, and R. Speicher, IEEE Trans. Inf. Theory 54
2008
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F. Benaych-Georges, Prob. Th. Rel. Fields 144
2009
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