Translator Disclaimer
Open Access
VOL. 5 | 2009 Some results on random circulant matrices
Mark W. Meckes

Editor(s) Christian Houdré, Vladimir Koltchinskii, David M. Mason, Magda Peligrad

Abstract

This paper considers random (non-Hermitian) circulant matrices, and proves several results analogous to recent theorems on non-Hermitian random matrices with independent entries. In particular, the limiting spectral distribution of a random circulant matrix is shown to be complex normal, and bounds are given for the probability that a circulant sign matrix is singular.

Information

Published: 1 January 2009
First available in Project Euclid: 2 February 2010

zbMATH: 1243.60008
MathSciNet: MR2797949

Digital Object Identifier: 10.1214/09-IMSCOLL514

Subjects:
Primary: 15A52
Secondary: 60F05

Keywords: Circulant matrix , Eigenvalues , Random matrix

Rights: Copyright © 2009, Institute of Mathematical Statistics

CHAPTER
11 PAGES


SHARE
Back to Top