Mixed moments of Voiculescu's Gaussian random matrices

DOI10.1006/jfan.2000.3622zbMath0977.46041OpenAlexW2085105902MaRDI QIDQ1585970

Steen Thorbjørnsen

Publication date: 17 January 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3622

zbMATH Keywords

almost sure convergencefree group factorsexplicit combinatorial formulaGaussian random matrices with operator entriesmixed moments of Gaussian Hermitian matricesnoncommutative free probabilitynoncommuting polynomialsultra products of matrix algebras

Mathematics Subject Classification ID

Gaussian processes (60G15) Probability measures on topological spaces (60B05) Strong limit theorems (60F15) Ultraproducts in functional analysis (46M07) Noncommutative probability and statistics (46L53)

Related Items (6)

ASYMPTOTIC EXPANSIONS FOR THE GAUSSIAN UNITARY ENSEMBLE ⋮ Spectral properties of polynomials in independent Wigner and deterministic matrices ⋮ The norm of polynomials in large random and deterministic matrices ⋮ Operator-valued matrices with free or exchangeable entries ⋮ A random matrix approach to the lack of projections in \(C_{\mathrm {red}}^{\ast}(\mathbb F_2)\) ⋮ Random regularization of Brown spectral measure

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