# The spectrum of random permutation matrices

Dang, K. The spectrum of random permutation matrices. 2012, University of Zurich, Faculty of Science.

## Abstract

This thesis contains mainly two parts. In the first part, we establish the limit laws of linear statistics of random permutation matrices. In the second part, we show Central Limit theorems for the characteristic polynomial of random permutation matrices and multiplicative class functions. A third part contains some natural extensions of the techniques of part one and two.

## Abstract

This thesis contains mainly two parts. In the first part, we establish the limit laws of linear statistics of random permutation matrices. In the second part, we show Central Limit theorems for the characteristic polynomial of random permutation matrices and multiplicative class functions. A third part contains some natural extensions of the techniques of part one and two.