Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




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

Journal of Siberian Federal University. Mathematics & Physics, 2015, Volume 8, Issue 2, Pages 165–172 (Mi jsfu418)  
This article is cited in 3 scientific papers (total in 3 papers)

The uniqueness of the translation-invariant Gibbs measure for four state HC-models on a Cayley tree

Rustam M. Khakimov

Institute of Mathematics, Do’rmon Yo’li str., 29, Tashkent, 100125, Uzbekistan
Full-text PDF (188 kB) Citations (3)
References:
PDF
HTML
Abstract: We consider fertile Hard-Core (HC) models with activity parameter $\lambda>0$ and four states on the Cayley tree of order two. It is known that there are three types of such models. In this paper for each of these models the uniqueness of the translation-invariant Gibbs measure is proved.
Keywords: Cayley tree, configuration, HC-model, Gibbs measure, translation-invariant measures.
Received: 04.01.2015
Received in revised form: 17.02.2015
Accepted: 06.03.2015
Document Type: Article
UDC: 517.98
Language: English
Citation: Rustam M. Khakimov, “The uniqueness of the translation-invariant Gibbs measure for four state HC-models on a Cayley tree”, J. Sib. Fed. Univ. Math. Phys., 8:2 (2015), 165–172
Citation in format AMSBIB
\Bibitem{Kha15}
\by Rustam~M.~Khakimov
\paper The uniqueness of the translation-invariant Gibbs measure for four state HC-models on a Cayley tree
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2015
\vol 8
\issue 2
\pages 165--172
\mathnet{http://mi.mathnet.ru/jsfu418}
Linking options:
  • https://www.mathnet.ru/eng/jsfu418
  • https://www.mathnet.ru/eng/jsfu/v8/i2/p165
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:201
    Full-text PDF :76
    References:38
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024