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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 448, Pages 69–79 (Mi znsl6303)  
This article is cited in 3 scientific papers (total in 3 papers)

Numerical investigation of the asymptotics of the probabilities of paths in a Markov process on the 3D Young graph close to a central one

N. N. Vasilievab, V. S. Duzhinb

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg Electrotechnical University, St. Petersburg, Russia
Full-text PDF (742 kB) Citations (3)
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Abstract: The article is devoted to the investigation of the asymptotics of the probabilities of paths in a certain Markov process on the 3D Young graph. We introduce a normalized dimension of paths. We study the growth and oscillations of normalized dimensions along greedy trajectories of this process using computer experiments.
Key words and phrases: 3D Young diagrams, 3D Young graph, Plancherel process, Markov central process, limit shape.
Funding agency Grant number
Russian Science Foundation 14-11-00581
Received: 10.10.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 224, Issue 2, Pages 214–220
DOI: https://doi.org/10.1007/s10958-017-3406-4
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: N. N. Vasiliev, V. S. Duzhin, “Numerical investigation of the asymptotics of the probabilities of paths in a Markov process on the 3D Young graph close to a central one”, Representation theory, dynamical systems, combinatorial methods. Part XXVII, Zap. Nauchn. Sem. POMI, 448, POMI, St. Petersburg, 2016, 69–79; J. Math. Sci. (N. Y.), 224:2 (2017), 214–220
Citation in format AMSBIB
\Bibitem{VasDuz16}
\by N.~N.~Vasiliev, V.~S.~Duzhin
\paper Numerical investigation of the asymptotics of the probabilities of paths in a~Markov process on the 3D Young graph close to a~central one
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 448
\pages 69--79
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6303}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3576249}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 2
\pages 214--220
\crossref{https://doi.org/10.1007/s10958-017-3406-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85019771571}
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  • https://www.mathnet.ru/eng/znsl6303
  • https://www.mathnet.ru/eng/znsl/v448/p69
    • 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
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    References:32
     
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