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

DOI10.1515/rose-2020-2034zbMath1447.60020OpenAlexW3024865881MaRDI QIDQ778254

Vyacheslav L. Girko

Publication date: 2 July 2020

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

Full work available at URL: https://doi.org/10.1515/rose-2020-2034

zbMATH Keywords

eigenvaluesrandom matrixcanonical equations

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Central limit theorem for linear eigenvalue statistics of elliptic random matrices
• Products of independent non-Hermitian random matrices
• Universality at weak and strong non-Hermiticity beyond the elliptic Ginibre ensemble
• Low rank perturbations of large elliptic random matrices
• Products of independent elliptic random matrices
• The 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 \(G\)-elliptic law under \(G\)-Lindeberg condition and twice stochastic condition for the variances and covariances of the entries of some random matrices