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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)
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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
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  • https://doi.org/10.4213/tmf9051
  • https://www.mathnet.ru/eng/tmf/v187/i3/p455
    • This publication is cited in the following 3 articles:
    1. Yannick Mvondo-She, “From Hurwitz numbers to Feynman diagrams: Counting rooted trees in log gravity”, Nuclear Physics B, 995 (2023), 116350  crossref
    2. Eddie Nijholt, Nándor Sieben, James W. Swift, “Invariant Synchrony and Anti-synchrony Subspaces of Weighted Networks”, J Nonlinear Sci, 33:4 (2023)  crossref
    3. Yannick Mvondo-She, “Integrable hierarchies, Hurwitz numbers and a branch point field in critical topologically massive gravity”, SciPost Phys., 12:4 (2022)  crossref
    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
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    Full-text PDF :309
    References:68
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