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Funktsional. Anal. i Prilozhen., 1974, Volume 8, Issue 3, Pages 12–25 (Mi faa2354)  

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

Gibbs states in lattice models with two-step interaction

V. M. Gercik, R. L. Dobrushin


Full text: PDF file (1454 kB)

English version:
Functional Analysis and Its Applications, 1974, 8:3, 201–211

Bibliographic databases:

Received: 19.12.1972

Citation: V. M. Gercik, R. L. Dobrushin, “Gibbs states in lattice models with two-step interaction”, Funktsional. Anal. i Prilozhen., 8:3 (1974), 12–25; Funct. Anal. Appl., 8:3 (1974), 201–211

Citation in format AMSBIB
\Bibitem{GerDob74}
\by V.~M.~Gercik, R.~L.~Dobrushin
\paper Gibbs states in lattice models with two-step interaction
\jour Funktsional. Anal. i Prilozhen.
\yr 1974
\vol 8
\issue 3
\pages 12--25
\mathnet{http://mi.mathnet.ru/faa2354}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=438989}
\zmath{https://zbmath.org/?q=an:0351.60089}
\transl
\jour Funct. Anal. Appl.
\yr 1974
\vol 8
\issue 3
\pages 201--211
\crossref{https://doi.org/10.1007/BF01075693}


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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. S. A. Pirogov, “The existence of lattice models with several types of pariticles”, Math. USSR-Izv., 9:6 (1975), 1333–1357  mathnet  crossref  mathscinet
    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, “Gibbsovskie sluchainye polya i problema sosuschestvovaniya faz dlya reshetchatykh modelei statisticheskoi fiziki”, UMN, 30:2(182) (1975), 223–224  mathnet  mathscinet  zmath
    4. V. M. Gertsik, “Usloviya needinstvennosti gibbsovskogo sostoyaniya dlya reshetchatykh modelei s finitnym potentsialom vzaimodeistviya”, UMN, 30:3(183) (1975), 159–160  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. V. M. Gercik, “Conditions for the nonuniqueness of the Gibbs state for lattice models having finite interaction potentials”, Math. USSR-Izv., 10:2 (1976), 429–443  mathnet  crossref  mathscinet  zmath
    7. I. A. Kashapov, “Structure of ground states in three-dimensional using model with three-step interaction”, Theoret. and Math. Phys., 33:1 (1977), 912–918  mathnet  crossref  mathscinet
    8. R. A. Minlos, “R. L. Dobrushin – one of the founders of modern mathematical physics”, Russian Math. Surveys, 52:2 (1997), 251–256  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    9. Eugene Pechersky, Elena Petrova, Sergey Pirogov, “Phase transitions of laminated models at any temperature”, Mosc. Math. J., 10:4 (2010), 789–806  mathnet  crossref  mathscinet
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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