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arXiv · 0902.2472

Some results on random circulant matrices

Mark W. Meckes
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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.

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Mark W. Meckes. 2009-02-14. Some results on random circulant matrices. https://doi.org/10.1214/09-imscoll514

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