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- W1572306087 abstract "We investigate the implications of free probability for random matrices. From rules for calculating all possible joint moments of two free random matrices, we develop a notion of partial freeness which is quantified by the breakdown of these rules. We provide a combinatorial interpretation for partial freeness as the presence of closed paths in Hilbert space defined by particular joint moments. We also discuss how asymptotic moment expansions provide an error term on the density of states. We present MATLAB code for the calculation of moments and free cumulants of arbitrary random matrices." @default.
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- W1572306087 date "2012-04-10" @default.
- W1572306087 modified "2023-09-27" @default.
- W1572306087 title "Partial freeness of random matrices" @default.
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