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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 1, Pages 170–175
DOI: https://doi.org/10.4213/tmf1037
(Mi tmf1037)
 

This article is cited in 58 scientific papers (total in 58 papers)

Partition structures of the Cayley tree and applications for describing periodic Gibbs distributions

U. A. Rozikov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
References:
Abstract: The disposition order of partition elements into adjacent classes of the group representation of the Cayley tree on its finite index normal subgroups is described. For the inhomogeneous Ising model it is proved that there exist three $H_0$-periodic Gibbs distributions, where $H_0$ is a normal subgroup of finite index.
Received: 05.08.1996
Revised: 16.01.1997
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 1, Pages 929–933
DOI: https://doi.org/10.1007/BF02634109
Bibliographic databases:
Language: Russian
Citation: U. A. Rozikov, “Partition structures of the Cayley tree and applications for describing periodic Gibbs distributions”, TMF, 112:1 (1997), 170–175; Theoret. and Math. Phys., 112:1 (1997), 929–933
Citation in format AMSBIB
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\by U.~A.~Rozikov
\paper Partition structures of the Cayley tree and applications for describing periodic Gibbs distributions
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\yr 1997
\vol 112
\issue 1
\pages 170--175
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 112
\issue 1
\pages 929--933
\crossref{https://doi.org/10.1007/BF02634109}
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  • https://www.mathnet.ru/eng/tmf/v112/i1/p170
  • This publication is cited in the following 58 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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