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Zap. Nauchn. Sem. POMI, 2008, Volume 360, Pages 5–30
(Mi znsl2157)
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This article is cited in 3 scientific papers (total in 3 papers)
Form factors, plane partitions and random walks
N. M. Bogoliubov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
An exactly solvable boson model, the so-called “phase model,” is considered. A relation between certain transition matrix elements of this model and boxed plane partitions, three-dimensional Young diagrams placed into a box of finite size, is established. It is shown that the natural model describing the behavior of friendly walkers, ones that can share the same lattice sites, is the “phase model.” An expression for the number of all admissible nests of lattice paths made by a fixed number of friendly walkers for a certain number of steps is obtained. Bibl. – 35 titles.
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Journal of Mathematical Sciences (New York), 2009, 158:6, 771–786
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UDC:
517.987 Received: 21.11.2008
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Citation:
N. M. Bogoliubov, “Form factors, plane partitions and random walks”, Representation theory, dynamics systems, combinatorial methods. Part XVI, Zap. Nauchn. Sem. POMI, 360, POMI, St. Petersburg, 2008, 5–30; J. Math. Sci. (N. Y.), 158:6 (2009), 771–786
Citation in format AMSBIB
\Bibitem{Bog08}
\by N.~M.~Bogoliubov
\paper Form factors, plane partitions and random walks
\inbook Representation theory, dynamics systems, combinatorial methods. Part~XVI
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 360
\pages 5--30
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2157}
\zmath{https://zbmath.org/?q=an:1177.05015}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 158
\issue 6
\pages 771--786
\crossref{https://doi.org/10.1007/s10958-009-9411-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349161422}
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This publication is cited in the following articles:
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N. M. Bogolyubov, “Combinatorics of a strongly coupled boson system”, Theoret. and Math. Phys., 181:1 (2014), 1132–1144
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J. Math. Sci. (N. Y.), 224:2 (2017), 199–213
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J. Math. Sci. (N. Y.), 238:6 (2019), 769–778
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