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.
Year of publication: |
2000
|
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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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