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Funktsional. Anal. i Prilozhen., 2016, Volume 50, Issue 3, Pages 85–90 (Mi faa3246)  

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

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).


DOI: https://doi.org/10.4213/faa3246

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English version:
Functional Analysis and Its Applications, 2016, 50:3, 237–240

Bibliographic databases:

UDC: 519.217.4
Received: 16.05.2016

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

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