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The $\mathcal{A}$-tracial algebras are algebras endowed with multi-linear forms, compatible with the product, and indexed by partitions.
The Potts model and the symmetric group
P. Martin · 1991
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Limit laws for random matrices and free products
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Lévy-Hinchin type theorems for multiplicative and additive free convolution
H. Bercovici and D. Voiculescu · 1992
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Free Random Variables
D. V. Voiculescu and K. J. Dykema and A .Nica · 1992
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Free convolution of measures with unbounded support
H. Bercovici and D. Voiculescu · 1993
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The Potts model and the symmetric group
V.F.R. Jones · 1994
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P. Biane · 1997
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Representations and Invariants of the Classical Groups
R. Goodman and N.R. Wallach · 1998
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Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability
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Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
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Schur-Weyl duality and the heat kernel measure on the unitary group
T. Lévy · 2008
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T. Lévy · 2011
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The distributions of traffics and their free product
C. Male · 2011
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Integration formula for Brownian motion on classical compact Lie groups
A. Dahlqvist · 2012
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Topics in Random matrix theory
T. Tao · 2012
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A. Nica and R. Speicher · 2006
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Second order freeness and fluctuations of random matrices: III. Higher order freeness and free cumulants
B. Collins, J. Mingo, P. Sniady, and R. Speicher · 2007
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Geometric interpretation of the cumulants for random matrices previously defined as convolutions on the symmetric group
M. Capitaine and M. Casalis · 2008
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Liberation of orthogonal Lie groups
T. Banica and R. Speicher
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Matricial model for the free multiplicative convolution
G. Cébron
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Traffic-partition correspondence
G. Cébron and A. Dahlqvist and F. Gabriel and C. Male
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F. Gabriel · 2015
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F. Gabriel · 2015
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Universal constructions for spaces of traffics
G. Cébron and A. Dahlqvist and C. Male · 2016
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Freeness and the transposes of unitarily invariant random matrices
J.A. Mingo and M. Popa · 2016
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