The characteristic polynomial of a random permutation matrix

Author: 

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

Publication Date: 

17 January 2000

Journal: 

HP Laboratories Technical Report

Last Updated: 

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

Issue: 

1

Volume: 

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.

Symplectic id: 

455640

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article