The characteristic polynomial of a random permutation matrix

[摘要] 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. (C) 2000 Elsevier Science B.V. All rights reserved.

[发布日期] 2000-12-01

[关键词] feller coupling;uniformly distributed sequences;discrepancy