Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 187, Number 3, Pages 455–486
DOI: https://doi.org/10.4213/tmf9051 (Mi tmf9051) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Set partitions and integrable hierarchies

V. E. Adler

Landau Institute for Theoretical Physics of RAS, Chernogolovka, Moscow Oblast, Russia
Full-text PDF (938 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9051
Abstract: We demonstrate that statistics for several types of set partitions are described by generating functions arising in the theory of integrable equations.
Keywords: set partition, $B$-type partition, nonoverlapping partition, atomic partition, Bell polynomial, Dowling number, Bessel number, generating function, integrable hierarchy.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00289_a
This research was supported by the Russian Foundation for Basic Research (Grant No. 16-01-00289_a).
Received: 05.10.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 187, Issue 3, Pages 842–870
DOI: https://doi.org/10.1134/S0040577916060052
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. E. Adler, “Set partitions and integrable hierarchies”, TMF, 187:3 (2016), 455–486; Theoret. and Math. Phys., 187:3 (2016), 842–870
Citation in format AMSBIB
\Bibitem{Adl16}
\by V.~E.~Adler
\paper Set partitions and integrable hierarchies
\jour TMF
\yr 2016
\vol 187
\issue 3
\pages 455--486
\mathnet{http://mi.mathnet.ru/tmf9051}
\crossref{https://doi.org/10.4213/tmf9051}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3535390}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016TMP...187..842A}
\elib{https://elibrary.ru/item.asp?id=26414440}
\transl
\jour Theoret. and Math. Phys.
\yr 2016
\vol 187
\issue 3
\pages 842--870
\crossref{https://doi.org/10.1134/S0040577916060052}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000379309300005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84977142724}
Linking options:
  • https://www.mathnet.ru/eng/tmf9051
  • https://doi.org/10.4213/tmf9051
  • https://www.mathnet.ru/eng/tmf/v187/i3/p455
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:423
    Full-text PDF :270
    References:60
    First page:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024