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. © 2000 Elsevier Science B.V. All...

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Bibliographic Details
Main Authors: Hambly, B, Keevash, P, O'Connell, N, Stark, D
Format: Journal article
Language:English
Published: 2000