Spectral properties of random triangular matrices
type: Item
instance of: scholarly article
zbMATH Open document ID: 1258.60010
DOI: 10.1142/S2010326312500037
author: Riddhipratim Basu
author: Shirshendu Ganguly
author: Rajat Subhra Hazra
author: Arup Bose
published in: Random Matrices: Theory and Applications
publication date: 2012-10-16T00:00:00Z
full work available at URL: https://arxiv.org/abs/1110.1062
Mathematics Subject Classification ID: 60B20
Mathematics Subject Classification ID: 46L54
Mathematics Subject Classification ID: 15B52
zbMATH DE Number: 6094185
zbMATH Keywords: triangular matrices
zbMATH Keywords: Wigner matrices
zbMATH Keywords: Hankel matrices
zbMATH Keywords: Toeplitz matrices
zbMATH Keywords: symmetric circulant matrices
zbMATH Keywords: limiting spectral distribution
zbMATH Keywords: asymptotically free
zbMATH Keywords: DT-operators
zbMATH Keywords: Catalan words
zbMATH Keywords: symmetric words
zbMATH Keywords: semicircular law
zbMATH Keywords: joint convergence of matrices
MaRDI profile type: Publication
arXiv ID: 1110.1062
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OpenAlex ID: W2963964277
title: Spectral properties of random triangular matrices
review text: Inspired by the work of \textit{K. Dykema} and \textit{U. Haagerup} on their DT-operators in [Am. J. Math. 126, No. 1, 121--189 (2004; Zbl 1054.47026); J. Funct. Anal. 209, No. 2, 332--366 (2004; Zbl 1087.47006)], the authors study the moments of the limiting spectral distribution (LSD) of symmetric patterned triangular matrices with independent identically distributed (or with uniformly bounded moments) entries with mean 0 and variance 1, subject also to a technical condition on the link function.NEWLINENEWLINEThe last section of the paper is devoted to a discussion on other variants and absolute continuity.
reviewed by: Martín Argerami
description: scientific article; zbMATH DE number 6094185