Computing moments of free additive convolution of measures

DOI10.1016/j.amc.2007.04.025zbMath1193.68290OpenAlexW2003603689MaRDI QIDQ990723

Wlodzimierz Bryc

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.025

zbMATH Keywords

free cumulants\(R\)-transform

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Partitions of sets (05A18) Free probability and free operator algebras (46L54) Combinatorial probability (60C05)

Related Items

The Laplacian energy of random graphs ⋮ On the computation of classical, Boolean and free cumulants

Uses Software

• RMTool

Cites Work

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• Addition of freely independent random variables
• Multiplicative functions on the lattice of non-crossing partitions and free convolution
• Free probability theory and non-crossing partitions
• Free cumulants and enumeration of connected partitions
• Interpolations between bosonic and fermionic relations given by generalized Brownian motions
• Spectral measure of large random Hankel, Markov and Toeplitz matrices
• Random Matrix Theory and Wireless Communications

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