The characteristic polynomial of a random permutation matrix

نویسندگان

  • B. M. Hambly
  • Peter Keevash
  • Neil O'Connell
چکیده

We establish a central limit theorem for the logarithm of the characteristic polynomial of a random permutation matrix. With this result we can obtain a central limit theorem for the counting function for the eigenvalues lying in some interval on the unit circle.

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تاریخ انتشار 2000