The complex Wishart distribution and the symmetric group

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Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information (2020, methodology): “BU has a positive semidenite inner product is equivalent to the existence of a probability distribution with characteristic function ˜ d;k. A succinct summary answering this question is contained in [92], to which we refer the reader for the results we now use. For d>k, the inverse Fourier transf”
On the Performance of the MIMO Zero-Forcing Receiver in the Presence of Channel Estimation Error (2007, background): “According to [7] and [8], when Nr > Nt, one has”
Second order freeness and fluctuations of random matrices: I. Gaussian and Wishart matrices and cyclic Fock spaces (2004, unknown): “Yl = Tr(PN(Dn1+�� +nl−1+1) � � � PN(Dn1+�� +nl)) By [ GLM , Theorem 2]”
All Invariant Moments of the Wishart Distribution (2004, background): “Another group of related results can be found in Graczyk et al. (2003) where only the complex case d ¼ 2 is considered.”