The characteristic polynomial of a random permutation matrix

We establish a central limit theorem for the logarithm of the characteristic polynomial of a random permutation matrix. We relate this result to a central limit theorem of Wieand for the counting function for the eigenvalues lying in some interval on the unit circle.

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Year of publication:	2000
Authors:	Hambly, B. M. ; Keevash, P. ; O'Connell, N. ; Stark, D.
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 90.2000, 2, p. 335-346
Publisher:	Elsevier
Keywords:	Feller coupling Uniformly distributed sequences Discrepancy

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008872969