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, 2022, Volume 210, Number 3, Pages 470–484
DOI: https://doi.org/10.4213/tmf10206 (Mi tmf10206) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Extremality of translation-invariant Gibbs measures for the $\lambda$-model on the binary Cayley tree

F. M. Mukhamedovab, M. M. Rahmatullaevbc, M. A. Rasulovac

a Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al-Ain, Abu Dhabi, United Arab Emirates
b Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
c Namangan State University, Namangan, Uzbekistan
Full-text PDF (647 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf10206
Abstract: We consider the $\lambda$-model on the Cayley tree of order $k=2$. Under some conditions, we study translation-invariant Gibbs measures. Moreover, we investigate whether these Gibbs measures are extremal or nonextremal in the set of all Gibbs measures.
Keywords: phase transition, extremality, Gibbs measure.
Received: 20.11.2021
Revised: 22.12.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 210, Issue 3, Pages 411–424
DOI: https://doi.org/10.1134/S0040577922030114
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. M. Mukhamedov, M. M. Rahmatullaev, M. A. Rasulova, “Extremality of translation-invariant Gibbs measures for the $\lambda$-model on the binary Cayley tree”, TMF, 210:3 (2022), 470–484; Theoret. and Math. Phys., 210:3 (2022), 411–424
Citation in format AMSBIB
\Bibitem{MukRahRas22}
\by F.~M.~Mukhamedov, M.~M.~Rahmatullaev, M.~A.~Rasulova
\paper Extremality of translation-invariant Gibbs measures for the~$\lambda$-model on the~binary Cayley tree
\jour TMF
\yr 2022
\vol 210
\issue 3
\pages 470--484
\mathnet{http://mi.mathnet.ru/tmf10206}
\crossref{https://doi.org/10.4213/tmf10206}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461508}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...210..411M}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 210
\issue 3
\pages 411--424
\crossref{https://doi.org/10.1134/S0040577922030114}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000772448700011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85127142729}
Linking options:
  • https://www.mathnet.ru/eng/tmf10206
  • https://doi.org/10.4213/tmf10206
  • https://www.mathnet.ru/eng/tmf/v210/i3/p470
    • This publication is cited in the following 1 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:160
    Full-text PDF :13
    References:47
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024