VICTORIA transform, RESPECT and REFORM methods for the proof of the \(G\)-permanent pencil law under \(G\)-Lindeberg condition for some random matrices from \(G\)-elliptic ensemble

DOI10.1515/rose-2021-2057zbMath1477.60019OpenAlexW3159815735MaRDI QIDQ2042920

Vyacheslav L. Girko

Publication date: 22 July 2021

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

Full work available at URL: https://doi.org/10.1515/rose-2021-2057

zbMATH Keywords

eigenvaluesrandom matrixcanonical equations

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (2)

The main probability \(G\)-density of the theory of non-Hermitian random matrices, VICTORIA transform, RESPECT and REFORM methods ⋮ The \(G\)-pencil law under \(G\)-Lindeberg condition. The canonical equation \(K_{98}\) and \(G\)-logarithmic law

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• VICTORIA transform, RESPECT and REFORM methods for the proof of the \(G\)-elliptic law under \(G\)-Lindeberg condition and twice stochastic condition for the variances and covariances of the entries of some random matrices
• The Generalized Elliptic Law
• The Strong Elliptical Galactic Law. Sand Clock density. Twenty years later. Part II
• The Strong Circular Law. Twenty years later. Part II
• The Circular Law: ten years later
• 35 years of the Inverse Tangent Law
• The Circular Law. Thirty years later
• The Elliptic Law. Thirty years later
• The Generalized Circular Law
• The Strong Circular Law. Twenty years later. Part I
• The Circular Law. Twenty years later. Part III

This page was built for publication: VICTORIA transform, RESPECT and REFORM methods for the proof of the \(G\)-permanent pencil law under \(G\)-Lindeberg condition for some random matrices from \(G\)-elliptic ensemble