On the asymptotic distribution of the commutator and anticommutator of random matrices

DOI10.1063/1.1557329zbMath1062.82023OpenAlexW2063263075MaRDI QIDQ4832982

Vladimir Vasilchuk

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1557329

Mathematics Subject Classification ID

Strong limit theorems (60F15) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random matrices (algebraic aspects) (15B52) Applications of functional analysis in statistical physics (46N55)

Related Items (4)

Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem ⋮ On the anti-commutator of two free random variables ⋮ Using Boolean cumulants to study multiplication and anti-commutators of free random variables ⋮ Random positive operator valued measures

Cites Work

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• Limit laws for random matrices and free products
• Free convolution and the random sum of matrices
• Commutators of free random variables
• On the law of multiplication of random matrices

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