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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 432, Pages 68–82 (Mi znsl6111)  
This article is cited in 4 scientific papers (total in 4 papers)

Modelling of measures close to central ones on the three-dimensional Young graph

N. N. Vasilieva, A. B. Terent'evb

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State Polytechnical University, St. Petersburg, Russia
Full-text PDF (268 kB) Citations (4)
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Abstract: We describe some computer experiments with 3D Young diagrams for modelling a Markov process whose properties are close to those of the Plancherel growth process in the two-dimensional case. The transition probabilities of this process are defined by formulas that use the lengths of 3D hooks. These formulas were obtained by generalizing well-known formulas for the Plancherel growth process probabilities. Although this 3D Markov process does not generate a central measure, we show that this measure is close to a central one.
Key words and phrases: diagrams, three dimensional Young graph, central measure, limit shape.
Received: 03.12.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 209, Issue 6, Pages 851–859
DOI: https://doi.org/10.1007/s10958-015-2532-0
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: N. N. Vasiliev, A. B. Terent'ev, “Modelling of measures close to central ones on the three-dimensional Young graph”, Representation theory, dynamical systems, combinatorial methods. Part XXIV, Zap. Nauchn. Sem. POMI, 432, POMI, St. Petersburg, 2015, 68–82; J. Math. Sci. (N. Y.), 209:6 (2015), 851–859
Citation in format AMSBIB
\Bibitem{VasTer15}
\by N.~N.~Vasiliev, A.~B.~Terent'ev
\paper Modelling of measures close to central ones on the three-dimensional Young graph
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 432
\pages 68--82
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6111}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 209
\issue 6
\pages 851--859
\crossref{https://doi.org/10.1007/s10958-015-2532-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84939437636}
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  • https://www.mathnet.ru/eng/znsl/v432/p68
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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