Home > Research > Publications & Outputs > The characteristic polynomial of a random permu...

Research

Associated organisational units

Links

Text available via DOI:

Keywords

View graph of relations

The characteristic polynomial of a random permutation matrix at different points

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

The characteristic polynomial of a random permutation matrix at different points. / Dang, Kim; Zeindler, D.
In: Stochastic Processes and their Applications, Vol. 124, No. 1, 01.2014, p. 411-439.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Dang, K & Zeindler, D 2014, 'The characteristic polynomial of a random permutation matrix at different points', Stochastic Processes and their Applications, vol. 124, no. 1, pp. 411-439. https://doi.org/10.1016/j.spa.2013.08.003

APA

Dang, K., & Zeindler, D. (2014). The characteristic polynomial of a random permutation matrix at different points. Stochastic Processes and their Applications, 124(1), 411-439. https://doi.org/10.1016/j.spa.2013.08.003

Vancouver

Dang K, Zeindler D. The characteristic polynomial of a random permutation matrix at different points. Stochastic Processes and their Applications. 2014 Jan;124(1):411-439. doi: 10.1016/j.spa.2013.08.003

Author

Dang, Kim ; Zeindler, D. / The characteristic polynomial of a random permutation matrix at different points. In: Stochastic Processes and their Applications. 2014 ; Vol. 124, No. 1. pp. 411-439.

Bibtex

@article{2f37f0ba41d5440298fbb72bc8d1af3b,
title = "The characteristic polynomial of a random permutation matrix at different points",
abstract = "We consider the logarithm of the characteristic polynomial of random permutation matrices, evaluated on a finite set of different points. The permutations are chosen with respect to the Ewens distribution on the symmetric group. We show that the behavior at different points is independent in the limit and are asymptotically normal. Our methods enable us to study also the wreath product of permutation matrices and diagonal matrices with i.i.d. entries and more general class functions on the symmetric group with a multiplicative structure.",
keywords = "Random matrices, Symmetric groups , Random permutations , Multiplicative class functions , Characteristic polynomial , Limit theorems",
author = "Kim Dang and D. Zeindler",
year = "2014",
month = jan,
doi = "10.1016/j.spa.2013.08.003",
language = "English",
volume = "124",
pages = "411--439",
journal = "Stochastic Processes and their Applications",
issn = "0304-4149",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - The characteristic polynomial of a random permutation matrix at different points

AU - Dang, Kim

AU - Zeindler, D.

PY - 2014/1

Y1 - 2014/1

N2 - We consider the logarithm of the characteristic polynomial of random permutation matrices, evaluated on a finite set of different points. The permutations are chosen with respect to the Ewens distribution on the symmetric group. We show that the behavior at different points is independent in the limit and are asymptotically normal. Our methods enable us to study also the wreath product of permutation matrices and diagonal matrices with i.i.d. entries and more general class functions on the symmetric group with a multiplicative structure.

AB - We consider the logarithm of the characteristic polynomial of random permutation matrices, evaluated on a finite set of different points. The permutations are chosen with respect to the Ewens distribution on the symmetric group. We show that the behavior at different points is independent in the limit and are asymptotically normal. Our methods enable us to study also the wreath product of permutation matrices and diagonal matrices with i.i.d. entries and more general class functions on the symmetric group with a multiplicative structure.

KW - Random matrices

KW - Symmetric groups

KW - Random permutations

KW - Multiplicative class functions

KW - Characteristic polynomial

KW - Limit theorems

U2 - 10.1016/j.spa.2013.08.003

DO - 10.1016/j.spa.2013.08.003

M3 - Journal article

VL - 124

SP - 411

EP - 439

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

SN - 0304-4149

IS - 1

ER -