Email this article Diffusion processes on the Thoma cone
- Authors: Olshanski G.I.1,2
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Affiliations:
- Institute for Information Transmission Problems, Russian Academy of Sciences
- National Research University Higher School of Economics
- Issue: Vol 50, No 3 (2016)
- Pages: 237-240
- Section: Brief Communications
- URL: https://journal-vniispk.ru/0016-2663/article/view/234219
- DOI: https://doi.org/10.1007/s10688-016-0153-0
- ID: 234219
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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.
About the authors
G. I. Olshanski
Institute for Information Transmission Problems, Russian Academy of Sciences; National Research University Higher School of Economics
Author for correspondence.
Email: olsh2007@gmail.com
Russian Federation, Moscow; Moscow
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