Loading [MathJax]/jax/output/SVG/config.js
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, 2017, Volume 190, Number 1, Pages 112–123
DOI: https://doi.org/10.4213/tmf9061 (Mi tmf9061) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Free energies of the Potts model on a Cayley tree

U. A. Rozikov, M. M. Rakhmatullaev

Institute of Mathematics, Mirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (462 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9061
Abstract: For the Potts model on the Cayley tree, we obtain some explicit formulas for the free energies and entropies in the case of vector-valued boundary conditions. These formulas include translation-invariant, periodic, and Dobrushin-like boundary conditions and also those corresponding to weakly periodic Gibbs measures.
Keywords: Cayley tree, Potts model, boundary condition, Gibbs measure, free energy, entropy.
Received: 29.09.2015
English version:
Theoretical and Mathematical Physics, 2017, Volume 190, Issue 1, Pages 98–108
DOI: https://doi.org/10.1134/S0040577917010081
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: U. A. Rozikov, M. M. Rakhmatullaev, “Free energies of the Potts model on a Cayley tree”, TMF, 190:1 (2017), 112–123; Theoret. and Math. Phys., 190:1 (2017), 98–108
Citation in format AMSBIB
\Bibitem{RozRah17}
\by U.~A.~Rozikov, M.~M.~Rakhmatullaev
\paper Free energies of the~Potts model on a~Cayley tree
\jour TMF
\yr 2017
\vol 190
\issue 1
\pages 112--123
\mathnet{http://mi.mathnet.ru/tmf9061}
\crossref{https://doi.org/10.4213/tmf9061}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3598777}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2017TMP...190...98R}
\elib{https://elibrary.ru/item.asp?id=28172175}
\transl
\jour Theoret. and Math. Phys.
\yr 2017
\vol 190
\issue 1
\pages 98--108
\crossref{https://doi.org/10.1134/S0040577917010081}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000394442700008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85011903729}
Linking options:
  • https://www.mathnet.ru/eng/tmf9061
  • https://doi.org/10.4213/tmf9061
  • https://www.mathnet.ru/eng/tmf/v190/i1/p112
    • This publication is cited in the following 12 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:322
    Full-text PDF :150
    References:46
    First page:25
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025