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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 448, Pages 236–245 (Mi znsl6313)  
This article is cited in 1 scientific paper (total in 1 paper)

Wishart–Pickrell distributions and closures of group actions

Yu. A. Neretinabcd

a University of Vienna, Vienna, Austria
b State Scientific Center of the Russian Federation - Institute for Theoretical and Experimental Physics, Moscow, Russia
c Lomonosov Moscow State University, Moscow, Russia
d Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
Full-text PDF (198 kB) Citations (1)
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Abstract: Consider probability distributions on the space of infinite Hermitian matrices $\mathrm{Herm}(\infty)$ invariant with respect to the unitary group $\mathrm U(\infty)$. We describe the closure of $\mathrm U(\infty)$ in the space of spreading maps (polymorphisms) of $\mathrm{Herm}(\infty)$; this closure is a semigroup isomorphic to the semigroup of all contractive operators.
Key words and phrases: polymorphism, invariant measures, ergodic actions.
Funding agency Grant number
Austrian Science Fund P28421
P25142
Received: 06.09.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 224, Issue 2, Pages 328–334
DOI: https://doi.org/10.1007/s10958-017-3417-1
Bibliographic databases:
Document Type: Article
UDC: 517.987+517.986.4
Language: Russian
Citation: Yu. A. Neretin, “Wishart–Pickrell distributions and closures of group actions”, Representation theory, dynamical systems, combinatorial methods. Part XXVII, Zap. Nauchn. Sem. POMI, 448, POMI, St. Petersburg, 2016, 236–245; J. Math. Sci. (N. Y.), 224:2 (2017), 328–334
Citation in format AMSBIB
\Bibitem{Ner16}
\by Yu.~A.~Neretin
\paper Wishart--Pickrell distributions and closures of group actions
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 448
\pages 236--245
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6313}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3576260}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 2
\pages 328--334
\crossref{https://doi.org/10.1007/s10958-017-3417-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019732458}
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  • https://www.mathnet.ru/eng/znsl/v448/p236
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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