Cumulants for random matrices as convolutions on the symmetric group. II
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Publication:2385610
DOI10.1007/s10959-007-0077-yzbMath1206.15026OpenAlexW2087911351MaRDI QIDQ2385610
Mireille Capitaine, Muriel Casalis
Publication date: 12 October 2007
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10959-007-0077-y
Related Items (7)
TRUNCATIONS OF HAAR DISTRIBUTED MATRICES, TRACES AND BIVARIATE BROWNIAN BRIDGES ⋮ Integration of invariant matrices and moments of inverses of Ginibre and Wishart matrices ⋮ Genus expansion for real Wishart matrices ⋮ Real second order freeness and Haar orthogonal matrices ⋮ Explicit multi-matrix topological expansion for quaternionic random matrices ⋮ On words of non-Hermitian random matrices ⋮ Quaternionic second-order freeness and the fluctuations of large symplectically invariant random matrices
Cites Work
- Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
- Multiplicative functions on the lattice of non-crossing partitions and free convolution
- Some properties of crossings and partitions
- Combinatorics of free cumulants
- The hyperoctahedral group, symmetric group representations and the moments of the real Wishart distribution
- Cumulants for random matrices as convolutions on the symmetric group
- Minimal factorizations of a cycle and central multiplicative functions on the infinite symmetric group
- A Characterization of the Wishart Distribution
- Asymptotic freeness by generalized moments for Gaussian and Wishart matrices. Application to beta random matrices
- On the multiplication of free N -tuples of noncommutative random variables
- Multivariate Beta Distributions and Independence Properties of the Wishart Distribution
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