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, 2002, Volume 130, Number 1, Pages 109–118
DOI: https://doi.org/10.4213/tmf293 (Mi tmf293) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Countably Periodic Gibbs Measures of the Ising Model on the Cayley Tree

U. A. Rozikov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Full-text PDF (237 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf293
Abstract: We describe a wide class of normal divisors of infinite index of the group representation of the Cayley tree and study the structure of partitions of the Cayley tree w.r.t. any normal divisor of infinite index. We prove that for a specific normal divisor of infinite index, there are three periodic and uncountably many nonperiodic Gibbs measures for an inhomogeneous Ising model.
Received: 30.01.2001
Revised: 30.04.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 130, Issue 1, Pages 92–100
DOI: https://doi.org/10.1023/A:1013832632251
Bibliographic databases:
Language: Russian
Citation: U. A. Rozikov, “Countably Periodic Gibbs Measures of the Ising Model on the Cayley Tree”, TMF, 130:1 (2002), 109–118; Theoret. and Math. Phys., 130:1 (2002), 92–100
Citation in format AMSBIB
\Bibitem{Roz02}
\by U.~A.~Rozikov
\paper Countably Periodic Gibbs Measures of the Ising Model on the Cayley Tree
\jour TMF
\yr 2002
\vol 130
\issue 1
\pages 109--118
\mathnet{http://mi.mathnet.ru/tmf293}
\crossref{https://doi.org/10.4213/tmf293}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1920462}
\zmath{https://zbmath.org/?q=an:1031.82016}
\elib{https://elibrary.ru/item.asp?id=5033918}
\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 130
\issue 1
\pages 92--100
\crossref{https://doi.org/10.1023/A:1013832632251}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000173912900007}
Linking options:
  • https://www.mathnet.ru/eng/tmf293
  • https://doi.org/10.4213/tmf293
  • https://www.mathnet.ru/eng/tmf/v130/i1/p109
    • This publication is cited in the following 4 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:360
    Full-text PDF :179
    References:46
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024