Standard

Stationary random partitions of positive integers. / Tsilevich, N. V.

In: Theory of Probability and its Applications, Vol. 44, No. 1, 01.03.1999, p. 60-74.

Research output: Contribution to journal › Article › peer-review

Harvard

Tsilevich, NV 1999, 'Stationary random partitions of positive integers', Theory of Probability and its Applications, vol. 44, no. 1, pp. 60-74.

APA

Tsilevich, N. V. (1999). Stationary random partitions of positive integers. Theory of Probability and its Applications, 44(1), 60-74.

Vancouver

Tsilevich NV. Stationary random partitions of positive integers. Theory of Probability and its Applications. 1999 Mar 1;44(1):60-74.

Author

Tsilevich, N. V. / Stationary random partitions of positive integers. In: Theory of Probability and its Applications. 1999 ; Vol. 44, No. 1. pp. 60-74.

BibTeX

@article{066ef007b73b434ab8cae574f5244235,
title = "Stationary random partitions of positive integers",
abstract = "This paper gives a description of stationary random partitions of positive integers (equivalently, stationary coherent sequences of random permutations) under the action of the infinite symmetric group. Equivalently, all stationary coherent sequences of random permutations are described. This result gives a new characterization of the Poisson-Dirichlet distribution PD(1) with the unit parameter, which turns out to be the unique invariant distribution for a family of Markovian operators on the infinite-dimensional simplex. This result also provides a new characterization of the Haar measure on the projective limit of finite symmetric groups.",
keywords = "Markovian operator, Poisson-Dirichlet distribution, Random partitions, Random permutations, Stationary distribution",
author = "Tsilevich, {N. V.}",
year = "1999",
month = mar,
day = "1",
language = "English",
volume = "44",
pages = "60--74",
journal = "Theory of Probability and its Applications",
issn = "0040-585X",
publisher = "Society for Industrial and Applied Mathematics",
number = "1",

}

RIS

TY - JOUR

T1 - Stationary random partitions of positive integers

AU - Tsilevich, N. V.

PY - 1999/3/1

Y1 - 1999/3/1

N2 - This paper gives a description of stationary random partitions of positive integers (equivalently, stationary coherent sequences of random permutations) under the action of the infinite symmetric group. Equivalently, all stationary coherent sequences of random permutations are described. This result gives a new characterization of the Poisson-Dirichlet distribution PD(1) with the unit parameter, which turns out to be the unique invariant distribution for a family of Markovian operators on the infinite-dimensional simplex. This result also provides a new characterization of the Haar measure on the projective limit of finite symmetric groups.

AB - This paper gives a description of stationary random partitions of positive integers (equivalently, stationary coherent sequences of random permutations) under the action of the infinite symmetric group. Equivalently, all stationary coherent sequences of random permutations are described. This result gives a new characterization of the Poisson-Dirichlet distribution PD(1) with the unit parameter, which turns out to be the unique invariant distribution for a family of Markovian operators on the infinite-dimensional simplex. This result also provides a new characterization of the Haar measure on the projective limit of finite symmetric groups.

KW - Markovian operator

KW - Poisson-Dirichlet distribution

KW - Random partitions

KW - Random permutations

KW - Stationary distribution

UR - http://www.scopus.com/inward/record.url?scp=0033272832&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0033272832

VL - 44

SP - 60

EP - 74

JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

SN - 0040-585X

IS - 1

ER -

ID: 49790466