Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 149, Number 1, Pages 18–31
DOI: https://doi.org/10.4213/tmf3825 (Mi tmf3825) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Gibbs measures for the SOS model with four states on a Cayley tree

U. A. Rozikov, Sh. A. Shoyusupov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Full-text PDF (465 kB) Citations (14)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf3825
Abstract: We analyze the SOS {(}solid-on-solid{\rm)} model with spins 0, 1, 2, 3 on a Cayley tree of order $k\ge 1$. We consider translation-invariant and periodic splitting Gibbs measures for this model. The majority of the constructed Gibbs measures are mirror symmetric.
Keywords: Cayley tree, configuration, Gibbs measure, periodic Gibbs measure.
Received: 16.01.2006
Revised: 29.03.2006
English version:
Theoretical and Mathematical Physics, 2006, Volume 149, Issue 1, Pages 1312–1323
DOI: https://doi.org/10.1007/s11232-006-0120-7
Bibliographic databases:
Language: Russian
Citation: U. A. Rozikov, Sh. A. Shoyusupov, “Gibbs measures for the SOS model with four states on a Cayley tree”, TMF, 149:1 (2006), 18–31; Theoret. and Math. Phys., 149:1 (2006), 1312–1323
Citation in format AMSBIB
\Bibitem{RozSho06}
\by U.~A.~Rozikov, Sh.~A.~Shoyusupov
\paper Gibbs measures for the~SOS model with four states on a~Cayley tree
\jour TMF
\yr 2006
\vol 149
\issue 1
\pages 18--31
\mathnet{http://mi.mathnet.ru/tmf3825}
\crossref{https://doi.org/10.4213/tmf3825}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2297108}
\zmath{https://zbmath.org/?q=an:1177.82031}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2006TMP...149.1312R}
\elib{https://elibrary.ru/item.asp?id=9296919}
\transl
\jour Theoret. and Math. Phys.
\yr 2006
\vol 149
\issue 1
\pages 1312--1323
\crossref{https://doi.org/10.1007/s11232-006-0120-7}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000242294000002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750557646}
Linking options:
  • https://www.mathnet.ru/eng/tmf3825
  • https://doi.org/10.4213/tmf3825
  • https://www.mathnet.ru/eng/tmf/v149/i1/p18
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:415
    Full-text PDF :208
    References:66
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024