Hambly, B. M.; Keevash, P.; O'Connell, N.; Stark, D. - In: Stochastic Processes and their Applications 90 (2000) 2, pp. 335-346
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.