Enviar artigo por via de e-mail Diffusion processes on the Thoma cone
- Autores: Olshanski G.I.1,2
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Afiliações:
- Institute for Information Transmission Problems, Russian Academy of Sciences
- National Research University Higher School of Economics
- Edição: Volume 50, Nº 3 (2016)
- Páginas: 237-240
- Seção: 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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Resumo
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.
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Sobre autores
G. Olshanski
Institute for Information Transmission Problems, Russian Academy of Sciences; National Research University Higher School of Economics
Autor responsável pela correspondência
Email: olsh2007@gmail.com
Rússia, Moscow; Moscow
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