Second order freeness and fluctuations of random matrices: I. Gaussian and Wishart matrices and cyclic Fock spaces

[1]  Alexandru Nica,et al.  Lectures on the Combinatorics of Free Probability , 2006 .

[2]  M. Stephanov,et al.  Random Matrices , 2005, hep-ph/0509286.

[3]  R. Speicher,et al.  Orthogonal polynomials and fluctuations of random matrices , 2005, math/0503169.

[4]  M. Anshelevich Appell polynomials and their relatives , 2003, math/0311043.

[5]  M. Capitaine,et al.  Asymptotic freeness by generalized moments for Gaussian and Wishart matrices. Application to beta random matrices , 2004 .

[6]  J. Mingo,et al.  Annular noncrossing permutations and partitions, and second-order asymptotics for random matrices , 2003, math/0303312.

[7]  H. Massam,et al.  The complex Wishart distribution and the symmetric group , 2003 .

[8]  S. Thorbjørnsen,et al.  A new application of random matrices: Ext(C^*_{red}(F_2)) is not a group , 2002, math/0212265.

[9]  Thierry Cabanal-Duvillard,et al.  Fluctuations de la loi empirique de grandes matrices aléatoires , 2001 .

[10]  F. Hiai,et al.  The semicircle law, free random variables, and entropy , 2006 .

[11]  D. Nualart GAUSSIAN HILBERT SPACES (Cambridge Tracts in Mathematics 129) By SVANTE JANSON: 340 pp., £40.00, ISBN 0 521 56128 0 (Cambridge University Press, 1997) , 1998 .

[12]  Roland Speicher,et al.  Combinatorial Theory of the Free Product With Amalgamation and Operator-Valued Free Probability Theory , 1998 .

[13]  K. Johansson On fluctuations of eigenvalues of random Hermitian matrices , 1998 .

[14]  A. Zvonkin Matrix integrals and map enumeration: An accessible introduction , 1997 .

[15]  S. Janson Gaussian Hilbert Spaces , 1997 .

[16]  R. Speicher,et al.  Realization of free white noises , 1992 .

[17]  D. Voiculescu Limit laws for Random matrices and free products , 1991 .

[18]  J. Jurkiewicz,et al.  Multiloop correlators for two-dimensional quantum gravity , 1990 .

[19]  R. Speicher A new example of ‘independence’ and ‘white noise’ , 1990 .

[20]  Politzer,et al.  Random-matrix description of the distribution of mesoscopic conductance. , 1989, Physical review. B, Condensed matter.