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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 325, Pages 13–27 (Mi znsl348)  
This article is cited in 33 scientific papers (total in 33 papers)

$XX0$ Heisenberg chain and random walks

N. M. Bogolyubov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (243 kB) Citations (33)
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Abstract: The time-dependent correlation functions of the $XX0$ Heisenberg chain over the ferromagnetic vacuum are considered as the generating functions of random walks on a one-dimensional lattice with different boundary conditions. The long-time asymptotic behaviour of these functions is studied. Bibliography: 18 titles.
Received: 26.04.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 138, Issue 3, Pages 5636–5643
DOI: https://doi.org/10.1007/s10958-006-0332-2
Bibliographic databases:
UDC: 519.14
Language: Russian
Citation: N. M. Bogolyubov, “$XX0$ Heisenberg chain and random walks”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XII, Zap. Nauchn. Sem. POMI, 325, POMI, St. Petersburg, 2005, 13–27; J. Math. Sci. (N. Y.), 138:3 (2006), 5636–5643
Citation in format AMSBIB
\Bibitem{Bog05}
\by N.~M.~Bogolyubov
\paper $XX0$ Heisenberg chain and random walks
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~XII
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 325
\pages 13--27
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl348}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2160317}
\zmath{https://zbmath.org/?q=an:1080.60090}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 138
\issue 3
\pages 5636--5643
\crossref{https://doi.org/10.1007/s10958-006-0332-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748662000}
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    • This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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