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We consider random matrices that have invariance properties under the action of unitary groups (either a left-right invariance, or a conjugacy invariance), and we give formulas for moments in terms of functions of eigenvalues.
J. Wishart, The generalised product moment distribution in samples from a normal multivariate population. Biometrika 20A, 1/2(jul 1928), 32-52
1918
Earlier work this paper cites.
D. Weingarten, Asymptotic behavior of group integrals in the limit of infinite rank. J. Mathematical Phys. 19
1978
Earlier work this paper cites.
I. G. Macdonald, Symmetric Functions nad Hall Polynomials, 2nd ed., Oxford University Press, Oxford (1995)
1995
Earlier work this paper cites.
R. Speicher, Combinatorial theory of the free product with amalgamation and operator-valued free probability theory. Mem. Amer. Math. Soc. 132, 627 (1998), x+88
1998
Earlier work this paper cites.
F. Hiai, and D. Petz, The semicircle law, free random variables and entropy. American Mathematical Society, Providence, RI, 2000, vol. 77 of Mathematical Surveys and Monographs
2000
Earlier work this paper cites.
B. Collins, Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability. Int. Math. Res. Not. (2003), no. 17, 953–982
2003
Cited alongside, same era.
P. Graczyk, P. Letac, and H. Massam, The complex Wishart distribution and the symmetric group. Ann. Statist. 31
2003
Cited alongside, same era.
Z. Burda, A. Jarosz, J. Jurkieewicz, M. A. Nowak, G. Papp, and I. Zahed, Applying free random variables to random matrix analysis of financial data. arXiv.org:physics/0603024, 2006
2006
Cited alongside, same era.
B. Collins and P. Śniady, Integration with respect to the Haar measure on unitary, orthogonal and symplectic group. Comm. Math. Phys. 264
2006
Cited alongside, same era.
C. M. Carvalho, M. West, Dynamic matrix-variate graphical models. Bayesian Analysis, 2, 2007
2007
C. M. Carvalho, H., Massam, M. West, Simulation of hyper-inverse Wishart distributions in graphical models. Biometrika, 94, 2007
2007
Later among the works it cites.
B. Collins and S. Matsumoto, On some properties of orthogonal Weingarten functions. J. Math. Phys. 50
2009
Later among the works it cites.
S. Matsumoto, Jucys-Murphy elements, orthogonal matrix integrals, and Jack measures, The Ramanujan J. 26
2011
Later among the works it cites.
S. Matsumoto and J. Novak, Jucys-Murphy elements and unitary matrix integrals, Int. Math. Res. Not. (2012), 36 pages. DOI 10.1093/imrn/rnr267
2012
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Cited alongside, same era.
S. Matsumoto, General moments of the inverse real Wishart distribution and orthogonal Weingarten functions. J. Theoret. Probab., Online First, DOI 10.1007/s10959-011-0340-0, 25 pp. arXiv1004.4717v3
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