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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मुख्य लेखकों: Hambly, B, Keevash, P, O'Connell, N, Stark, D
स्वरूप: Journal article
भाषा:English
प्रकाशित: 2000
विवरण
सारांश: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 rights reserved.