Diffusion processes on the Thoma cone
- 作者: Olshanski G.I.1,2
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隶属关系:
- Institute for Information Transmission Problems, Russian Academy of Sciences
- National Research University Higher School of Economics
- 期: 卷 50, 编号 3 (2016)
- 页面: 237-240
- 栏目: 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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详细
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.
作者简介
G. Olshanski
Institute for Information Transmission Problems, Russian Academy of Sciences; National Research University Higher School of Economics
编辑信件的主要联系方式.
Email: olsh2007@gmail.com
俄罗斯联邦, Moscow; Moscow
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