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Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 4, Pages 61–75
DOI: https://doi.org/10.4213/faa3210 (Mi faa3210) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Approximation of Markov Dynamics on the Dual Object of the Infinite-Dimensional Unitary Group

G. I. Olshanskii

Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
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DOI: https://doi.org/10.4213/faa3210
Abstract: Earlier, A. M. Borodin and the author constructed a $4$-parameter family of Markov processes on the dual object of the infinite-dimensional unitary group. The main new result is that these processes are limits of jump processes on dual objects of increasing compact unitary groups.
Keywords: Markov processes, Markov kernels, intertwining kernels, infinite-dimensional unitary groups, Feller semigroups, Dyson's Brownian motion.
Funding agency Grant number
Russian Science Foundation 14-50-00150
Received: 01.06.2015
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 4, Pages 289–300
DOI: https://doi.org/10.1007/s10688-015-0117-9
Bibliographic databases:
Document Type: Article
UDC: 519.217
Language: Russian
Citation: G. I. Olshanskii, “Approximation of Markov Dynamics on the Dual Object of the Infinite-Dimensional Unitary Group”, Funktsional. Anal. i Prilozhen., 49:4 (2015), 61–75; Funct. Anal. Appl., 49:4 (2015), 289–300
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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