\(\mathrm{V}\)-law for random block matrices under the generalized Lindeberg condition

DOI10.1515/ROSE-2019-2016zbMath1426.15054OpenAlexW2969546345MaRDI QIDQ2334797

Vyacheslav L. Girko

Publication date: 7 November 2019

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rose-2019-2016

zbMATH Keywords

eigenvaluesrandom matrixcanonical equations

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Stochastic matrices (15B51)

Cites Work

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• 30 years of general statistical analysis and canonical equation \(K_{60}\) for Hermitian matrices \((A+BUC)(A+BUC)^*\), where \(U\) is a random unitary matrix
• From the first rigorous proof of the circular law in 1984 to the circular law for block random matrices under the generalized Lindeberg condition
• The V-density of eigenvalues of non symmetric random matrices and rigorous proof of the strong Circular law
• Random block matrix density and SS-Law
• 35 years of the Inverse Tangent Law
• The Circular Law. Thirty years later
• The Circular Law. Twenty years later. Part III

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