Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2018, Volume 468, Pages 98–104 (Mi znsl6590)  
I

A remark on the isomorphism between the Bernoulli scheme and the Plancherel measure

P. E. Naryshkin

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (165 kB)
References:
PDF
HTML
Abstract: We formulate a theorem of Romik and Śniady which establishes an isomorphism between the Bernoulli scheme and the Plancherel measure. Then we derive from it several combinatorial results. The first one is related to measurable partitions; the other two are related to the Knuth equivalence. We also give several examples and one conjecture belonging to A. M. Vershik.
Key words and phrases: Young tableau, Robinson–Schensted–Knuth algorithm, Plancherel measure, measurable partitions, Knuth equivalence.
Funding agency Grant number
Russian Science Foundation 17-71-20153
Received: 22.09.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 240, Issue 5, Pages 567–571
DOI: https://doi.org/10.1007/s10958-019-04375-x
Bibliographic databases:
Document Type: Article
UDC: 519.1
Language: Russian
Citation: P. E. Naryshkin, “A remark on the isomorphism between the Bernoulli scheme and the Plancherel measure”, Representation theory, dynamical systems, combinatorial methods. Part XXIX, Zap. Nauchn. Sem. POMI, 468, POMI, St. Petersburg, 2018, 98–104; J. Math. Sci. (N. Y.), 240:5 (2019), 567–571
Citation in format AMSBIB
\Bibitem{Nar18}
\by P.~E.~Naryshkin
\paper A remark on the isomorphism between the Bernoulli scheme and the Plancherel measure
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXIX
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 468
\pages 98--104
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6590}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 240
\issue 5
\pages 567--571
\crossref{https://doi.org/10.1007/s10958-019-04375-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85068119135}
Linking options:
  • https://www.mathnet.ru/eng/znsl6590
  • https://www.mathnet.ru/eng/znsl/v468/p98
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:115
    Full-text PDF :38
    References:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024