Loading [MathJax]/jax/output/CommonHTML/jax.js
Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find






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


Funktsional'nyi Analiz i ego Prilozheniya, 1968, Volume 2, Issue 4, Pages 44–57 (Mi faa2795)  

This article is cited in 189 scientific papers (total in 189 papers)

The problem of uniqueness of a gibbsian random field and the problem of phase transitions

R. L. Dobrushin
Received: 23.02.1968
English version:
Functional Analysis and Its Applications, 1968, Volume 2, Issue 4, Pages 302–312
DOI: https://doi.org/10.1007/BF01075682
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. L. Dobrushin, “The problem of uniqueness of a gibbsian random field and the problem of phase transitions”, Funktsional. Anal. i Prilozhen., 2:4 (1968), 44–57; Funct. Anal. Appl., 2:4 (1968), 302–312
Citation in format AMSBIB
\Bibitem{Dob68}
\by R.~L.~Dobrushin
\paper The problem of uniqueness of a gibbsian random field and the problem of phase transitions
\jour Funktsional. Anal. i Prilozhen.
\yr 1968
\vol 2
\issue 4
\pages 44--57
\mathnet{http://mi.mathnet.ru/faa2795}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=250631}
\zmath{https://zbmath.org/?q=an:0192.61702}
\transl
\jour Funct. Anal. Appl.
\yr 1968
\vol 2
\issue 4
\pages 302--312
\crossref{https://doi.org/10.1007/BF01075682}
Linking options:
  • https://www.mathnet.ru/eng/faa2795
  • https://www.mathnet.ru/eng/faa/v2/i4/p44
  • This publication is cited in the following 189 articles:
    1. Takis Konstantopoulos, Ioannis Papageorgiou, “The log-Sobolev inequality for spin systems with higher order interactions”, Journal of Mathematical Physics, 66:1 (2025)  crossref
    2. Elmer R. Beltrán, Rodrigo Bissacot, Luísa Borsato, Raimundo Briceño, “THERMODYNAMIC FORMALISM FOR AMENABLE GROUPS AND COUNTABLE STATE SPACES”, J. Inst. Math. Jussieu, 2024, 1  crossref
    3. Qidong He, Ian Jauslin, “High-Fugacity Expansion and Crystallization in Non-sliding Hard-Core Lattice Particle Models Without a Tiling Constraint”, J Stat Phys, 191:10 (2024)  crossref
    4. Claude Godrèche, Marco Picco, “Interfaces of the two-dimensional voter model in the context of SLE”, J. Stat. Mech., 2024:11 (2024), 113203  crossref
    5. O.L. Rebenko, MATHEMATICAL FOUNDATIONS OF MODERN STATISTICAL MECHANICS, 2024  crossref
    6. Steffen Betsch, “Structural Properties of Gibbsian Point Processes in Abstract Spaces”, J Theor Probab, 36:4 (2023), 2501  crossref
    7. N. Drago, C. J. F. van de Ven, “DLR–KMS correspondence on lattice spin systems”, Lett Math Phys, 113:4 (2023)  crossref
    8. Linda Khachatryan, Boris S. Nahapetian, “On the Characterization of a Finite Random Field by Conditional Distribution and its Gibbs Form”, J Theor Probab, 36:3 (2023), 1743  crossref
    9. Ron Peled, Yinon Spinka, “Rigidity of proper colorings of Zd”, Invent. math., 232:1 (2023), 79  crossref
    10. Jean-René Chazottes, Gerhard Keller, Encyclopedia of Complexity and Systems Science Series, Ergodic Theory, 2023, 369  crossref
    11. Alexander Glazman, Ioan Manolescu, “Structure of Gibbs measure for planar FK-percolation and Potts models”, Prob. Math. Phys., 4:2 (2023), 209  crossref
    12. Jorge Littin, Cesar Maldonado, “Loss of Stability in a 1D Spin Model with a Long-Range Random Hamiltonian”, J Stat Phys, 191:1 (2023)  crossref
    13. Mathieu Lewin, “Coulomb and Riesz gases: The known and the unknown”, Journal of Mathematical Physics, 63:6 (2022)  crossref
    14. Linda Khachatryan, “Description of random fields by systems of conditional distributions”, Armen.J.Math., 14:8 (2022), 1  crossref
    15. Jung-Chao Ban, Chih-Hung Chang, Yu-Liang Wu, Yu-Ying Wu, “Stem and topological entropy on Cayley trees”, Math Phys Anal Geom, 25:1 (2022)  crossref
    16. Elmer R Beltrán, Rodrigo Bissacot, Eric O Endo, “Infinite DLR measures and volume-type phase transitions on countable Markov shifts”, Nonlinearity, 34:7 (2021), 4819  crossref
    17. Jean-René Chazottes, Gerhard Keller, Encyclopedia of Complexity and Systems Science, 2021, 1  crossref
    18. Farrukh Mukhamedov, Otabek Khakimov, STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health, Advances in Non-Archimedean Analysis and Applications, 2021, 115  crossref
    19. Roberto Fernández, Manuel González-Navarrete, Eugene Pechersky, Anatoly Yambartsev, “Lack of phase transitions in staggered magnetic systems. A comparison of uniqueness criteria”, Journal of Mathematical Physics, 62:10 (2021)  crossref
    20. Emmanuel Abbe, Enric Boix-Adserà, “An information-percolation bound for spin synchronization on general graphs”, Ann. Appl. Probab., 30:3 (2020)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:619
    Full-text PDF :253
    References:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025