# The characteristic polynomial of a random permutation matrix

Hambly, B
Keevash, P
O'Connell, N
Stark, D

17 January 2000

## Journal:

HP Laboratories Technical Report

## Last Updated:

2019-04-23T00:47:31.967+01:00

1

BRIMS

## abstract:

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.

455640

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Journal Article