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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.

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Additional indexing

Item Type:Dissertation
Referees:Nikeghbali Ashkan, Bertoin J, Ueltschi D
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2012
Deposited On:12 Feb 2013 15:00
Last Modified:07 Dec 2017 19:47
Number of Pages:110
Related URLs:http://opac.nebis.ch/F?func=direct&local_base=NEBIS&doc_number=007587274

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