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Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 3, Pages 85–90
DOI: https://doi.org/10.4213/faa3246 (Mi faa3246) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Diffusion processes on the Thoma cone

G. I. Olshanskiab

a Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b National Research University Higher School of Economics, Moscow, Russia
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DOI: https://doi.org/10.4213/faa3246
Abstract: The Thoma cone is a certain infinite-dimensional space that arises in the representation theory of the infinite symmetric group. The present note is a continuation of a paper by A. M. Borodin and the author (Electr. J. Probab. 18 (2013), no. 75), where a 2-parameter family of continuous-time Markov processes on the Thoma cone was constructed. The purpose of the note is to show that these processes are diffusions.
Keywords: infinite symmetric group, Thoma simplex, Thoma cone, symmetric functions, diffusion processes.
Funding agency Grant number
Russian Science Foundation 14-50-00150
The present research was carried out at the Institute for Information Transmission Problems of the Russian Academy of Sciences at the expense of the Russian Science Foundation (project 14-50-00150).
Received: 16.05.2016
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 3, Pages 237–240
DOI: https://doi.org/10.1007/s10688-016-0153-0
Bibliographic databases:
Document Type: Article
UDC: 519.217.4
Language: Russian
Citation: G. I. Olshanski, “Diffusion processes on the Thoma cone”, Funktsional. Anal. i Prilozhen., 50:3 (2016), 85–90; Funct. Anal. Appl., 50:3 (2016), 237–240
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    1. Theodoros Assiotis, “On a gateway between the Laguerre process and dynamics on partitions”, ALEA, 16:2 (2019), 1055  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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