Limiting spectral measures for random matrix ensembles with a polynomial link function

DOI10.1142/S2010326315500045zbMath1348.15025arXiv1411.3442OpenAlexW2964154257MaRDI QIDQ3449976

Karl Winsor, Steven J. Miller, K. Tor, Kirk Swanson

Publication date: 30 October 2015

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3442

zbMATH Keywords

random matrix theoryToeplitz matricescirculant matricesHankel matricesmethod of momentsDiophantine equationslimiting rescaled spectral measure

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Strong limit theorems (60F15) Counting solutions of Diophantine equations (11D45) Random measures (60G57) Random matrices (algebraic aspects) (15B52) Toeplitz, Cauchy, and related matrices (15B05)

Related Items

Limiting Spectral Distributions of Families of Block Matrix Ensembles, Spectral statistics of non-Hermitian random matrix ensembles, Random matrix ensembles with split limiting behavior, Spectral distributions of periodic random matrix ensembles

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