The characteristic polynomial of a random permutation matrix

Authors
Hambly, BM Keevash, P O'Connell, N Stark, D
Citation
Bm. Hambly et al., The characteristic polynomial of a random permutation matrix, STOCH PR AP, 90(2), 2000, pp. 335-346
Citations number
11
Categorie Soggetti
Mathematics
Journal title
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
ISSN journal
03044149 → ACNP
Volume
90
Issue
2
Year of publication
2000
Pages
335 - 346
Database
ISI
SICI code
0304-4149(200012)90:2<335:TCPOAR>2.0.ZU;2-Z
Abstract
We establish a central limit theorem for the logarithm of the characteristi c polynomial of a random permutation matrix. We relate this result to a cen tral limit theorem of Wieand for the counting function for the eigenvalues lying in some interval on the unit circle. (C) 2000 Elsevier Science B.V. A ll rights reserved.