论文信息 - Cumulant-moment relation in free probability theory - 字舞流文

Cumulant-moment relation in free probability theory

The goal of this paper is to present and prove a cumulant-moment recurrent relation formula in free probability theory. It is convenient tool to determine underlying compactly supported distributio ...

Dietrich von Rosen | Martin Singull | Jolanta Maria Pielaszkiewicz

[1] Antonia Maria Tulino,et al. Random Matrix Theory and Wireless Communications , 2004, Found. Trends Commun. Inf. Theory.

[2] R. Speicher. Multiplicative functions on the lattice of non-crossing partitions and free convolution , 1994 .

[3] J. W. Silverstein,et al. On the empirical distribution of eigenvalues of a class of large dimensional random matrices , 1995 .

[4] Asymptotics for the normalized spectral function of matrix quadratic forms , 1994 .

[5] Calvin C. Moore,et al. Operator Algebras and their Connections with Topology and Ergodic Theory , 1985 .

[6] V. Marčenko,et al. DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES , 1967 .

[7] Non-Commutative Probability Theory , 2005 .

[8] On Free Moments and Free Cumulants , 2014 .

[9] D. Voiculescu. Symmetries of some reduced free product C*-algebras , 1985 .

[10] R. Speicher,et al. Lectures on the Combinatorics of Free Probability: The free commutator , 2006 .

[11] W. Hachem,et al. Deterministic equivalents for certain functionals of large random matrices , 2005, math/0507172.

[12] Introduction to non-commutative probability , 2012 .

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

[14] R. Couillet,et al. Random Matrix Methods for Wireless Communications: Estimation , 2011 .