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Markov dynamics on the dual object to the infinite-dimensional unitary group. (English) Zbl 1388.60134

Sidoravicius, V. (ed.) et al., Probability and statistical physics in St. Petersburg. St. Petersburg School Probability and Statistical Physics, St. Petersburg State University, St. Petersburg, Russia, June 18–29, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2248-6/hbk; 978-1-4704-2883-9/ebook). Proceedings of Symposia in Pure Mathematics 91, 373-394 (2016).
Summary: We discuss the construction of certain infinite-dimensional continuous time Markov processes, based on the use of intertwined Markov semigroups.
For the entire collection see [Zbl 1341.60001].

MSC:

60J25 Continuous-time Markov processes on general state spaces
22E66 Analysis on and representations of infinite-dimensional Lie groups
60J27 Continuous-time Markov processes on discrete state spaces
20C32 Representations of infinite symmetric groups
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References:

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