The characteristic polynomial of a random permutation matrix

B. M. Hambly, P. Keevash, N. O'Connell and D. Stark

Stochastic Processes and their Applications, 2000, vol. 90, issue 2, 335-346

Abstract: 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.

Keywords: Feller; coupling; Uniformly; distributed; sequences; Discrepancy (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (6)

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