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Funktsional. Anal. i Prilozhen., 1974, Volume 8, Issue 1, Pages 25–30 (Mi faa2305)  

This article is cited in 9 scientific papers (total in 10 papers)

Phase transitions of the first kind for small perturbations of the Ising model

S. A. Pirogov, Ya. G. Sinai


Full text: PDF file (935 kB)

English version:
Functional Analysis and Its Applications, 1974, 8:1, 21–25

Bibliographic databases:

Received: 12.02.1973

Citation: S. A. Pirogov, Ya. G. Sinai, “Phase transitions of the first kind for small perturbations of the Ising model”, Funktsional. Anal. i Prilozhen., 8:1 (1974), 25–30; Funct. Anal. Appl., 8:1 (1974), 21–25

Citation in format AMSBIB
\Bibitem{PirSin74}
\by S.~A.~Pirogov, Ya.~G.~Sinai
\paper Phase transitions of the first kind for small perturbations of the Ising model
\jour Funktsional. Anal. i Prilozhen.
\yr 1974
\vol 8
\issue 1
\pages 25--30
\mathnet{http://mi.mathnet.ru/faa2305}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=366312}
\transl
\jour Funct. Anal. Appl.
\yr 1974
\vol 8
\issue 1
\pages 21--25
\crossref{https://doi.org/10.1007/BF02028303}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. D. G. Martirosyan, “Uniqueness of Gibbs limit distributions for the perturbed Ising model”, Theoret. and Math. Phys., 22:3 (1975), 236–240  mathnet  crossref  zmath
    2. S. A. Pirogov, Ya. G. Sinai, “Phase diagrams of classical lattice systems”, Theoret. and Math. Phys., 25:3 (1975), 1185–1192  mathnet  crossref  mathscinet
    3. S. A. Pirogov, “The existence of lattice models with several types of pariticles”, Math. USSR-Izv., 9:6 (1975), 1333–1357  mathnet  crossref  mathscinet
    4. S. A. Pirogov, “Gibbsovskie sluchainye polya i problema sosuschestvovaniya faz dlya reshetchatykh modelei statisticheskoi fiziki”, UMN, 30:2(182) (1975), 223–224  mathnet  mathscinet  zmath
    5. S. A. Pirogov, Ya. G. Sinai, “Phase diagrams of classical lattice systems continuation”, Theoret. and Math. Phys., 26:1 (1976), 39–49  mathnet  crossref  mathscinet
    6. D. Ruelle, “On manifolds of phase coexistence”, Theoret. and Math. Phys., 30:1 (1977), 24–29  mathnet  crossref  mathscinet
    7. V. A. Malyshev, “Cluster expansions in lattice models of statistical physics and the quantum theory of fields”, Russian Math. Surveys, 35:2 (1980), 1–62  mathnet  crossref  mathscinet  adsnasa  isi
    8. S. A. Pirogov, “Coexistence of phases in a multicomponent lattice liquid with complex thermodynamic parameters”, Theoret. and Math. Phys., 66:2 (1986), 218–221  mathnet  crossref  mathscinet  isi
    9. S. P. Novikov, L. A. Bunimovich, A. M. Vershik, B. M. Gurevich, E. I. Dinaburg, G. A. Margulis, V. I. Oseledets, S. A. Pirogov, K. M. Khanin, N. N. Chentsova, “Yakov Grigor'evich Sinai (on his sixtieth birthday)”, Russian Math. Surveys, 51:4 (1996), 765–778  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    10. Eugene Pechersky, Elena Petrova, Sergey Pirogov, “Phase transitions of laminated models at any temperature”, Mosc. Math. J., 10:4 (2010), 789–806  mathnet  mathscinet
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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