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Harmonic analysis on the infinite sy...

Borodin, Alexei.

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Harmonic analysis on the infinite symmetric group.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Harmonic analysis on the infinite symmetric group./
Author:	Borodin, Alexei.
Description:	71 p.
Notes:	Source: Dissertation Abstracts International, Volume: 62-02, Section: B, page: 8820.
Contained By:	Dissertation Abstracts International62-02B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3003600
ISBN:	9780493125190

Harmonic analysis on the infinite symmetric group.
Borodin, Alexei.

Harmonic analysis on the infinite symmetric group. - 71 p.

Source: Dissertation Abstracts International, Volume: 62-02, Section: B, page: 8820.

Thesis (Ph.D.)--University of Pennsylvania, 2001.

This item must not be sold to any third party vendors.

The main result of the thesis is a complete description of the decomposition of a certain natural deformation of the regular representation of the infinite symmetric group into irreducibles. The decomposition is given by a probability measure on an infinite-dimensional simplex. The measure is interpreted as a stochastic point process on the punctured real line, and all correlation functions of this process are explicitly computed.

ISBN: 9780493125190Subjects--Topical Terms:

515831
Mathematics.

Harmonic analysis on the infinite symmetric group.
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100 1 $a Borodin, Alexei. $3 3170725
245 1 0 $a Harmonic analysis on the infinite symmetric group.
300 $a 71 p.
500 $a Source: Dissertation Abstracts International, Volume: 62-02, Section: B, page: 8820.
500 $a Adviser: Alexandre A. Kirillov.
502 $a Thesis (Ph.D.)--University of Pennsylvania, 2001.
506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a The main result of the thesis is a complete description of the decomposition of a certain natural deformation of the regular representation of the infinite symmetric group into irreducibles. The decomposition is given by a probability measure on an infinite-dimensional simplex. The measure is interpreted as a stochastic point process on the punctured real line, and all correlation functions of this process are explicitly computed.
590 $a School code: 0175.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 $a University of Pennsylvania. $3 1017401
773 0 $t Dissertation Abstracts International $g 62-02B.
790 $a 0175
791 $a Ph.D.
792 $a 2001
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3003600