Skip to main content
Log in

From the seminar on Mathematical Statistical Physics in Moscow State University, 1962–1994. How everything started

  • Personal recollection
  • Published:
The European Physical Journal H Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. N.N. Bogoljubov, D.Ya. Petrina, B.I. Khatset, Mathematical description of the equilibrium state of the classical system on the basis of the formalism of the canonical ensemble, Teor. Mat. Fiz. 3, 251–274 (1969). Translation in : Theor. Math. Phys. 1, 194–212 (1969)

    Google Scholar 

  2. N.N. Bogoljubov, B.I. Khatset, On some mathematical problems of the theory of statistical equilibrium, Doklady Academii Nauk USSR. 66, 321–324 (1949)

    Google Scholar 

  3. R.L. Dobrushin, Investigation of conditions for the asymptotic existence of the configuration integral of Gibbs distribution, Teor. Ver. Prim. 9, 626–643 (1964). Translated in : Theory Probab. Appl. 9, 566–581 (1964)

    Google Scholar 

  4. R.L. Dobrushin, Existence of a phase transition in the two and three dimensional Ising models, Teor. Ver. Prim. 10, 209–230 (1965). Translated in : Theory Probab. Appl. 10, 193–213 (1965)

    MathSciNet  Google Scholar 

  5. F.A. Berezin, Ya.G. Sinai, Existence of phase transitions for the lattice gas with interparticle attractions, Trudy Mosc. Mat. Ob. 17, 219–236 (1967)

    Google Scholar 

  6. R.L. Dobrushin, Description of a random field by means of conditional probabilities and conditions for its regularity, Teor. Ver. Prim. 13, 201–229 (1968). Translated in : Theory Probab. Appl. 13, 197–224 (1968)

    Google Scholar 

  7. R.L. Dobrushin, Gibbsian random fields for lattice systems with pairwise interactions, Funk. An. Pril. 2, 31–43 (1968). Translated in : Funct. Anal. Appl. 2, 292–301 (1968)

    Google Scholar 

  8. R.L. Dobrushin, Gibbsian random fields. General case, Funk. An. Pril. 3, 27–35 (1969). Translated in : Funct. Anal. Appl. 3, 22–28 (1969)

    Google Scholar 

  9. O. Lanford, D. Ruelle, Observables at infinity and states with short range correlations in statistical mechanics, Commun. Math. Phys. 13, 174–215 (1969)

    Article  MathSciNet  ADS  Google Scholar 

  10. R.L. Dobrushin, The problem of uniqueness of a Gibbsian random field and the problem of phase transitions, Funk. An. Pril. 2, 44–57 (1968). Translated in : Funct. Anal. Appl. 2, 302–312 (1968)

    Google Scholar 

  11. E. Dinaburg, E.A. Pechersky, S.A. Pirogov, S. Shlosman, Yu.M. Suhov, Contour Technics, Eur. Phys. J. H (2012), DOI :10.1140/epjh/e2012-10052-6

  12. S.A. Pirogov, Ya.G. Sinai, Phase diagrams for classical lattice systems, Teoret. Mat. Fiz. 25, 358–369 (1975). Translated in : Theoret. Math. Phys. 25, 1185–1192 (1975)

    MathSciNet  Google Scholar 

  13. S.A. Pirogov, Ya.G. Sinai, Phase diagrams for classical lattice systems, Teoret. Mat. Fiz. 26, 61–76 (1976). Translated in : Theoret. Math. Phys. 26, 39–49 (1976)

    MathSciNet  Google Scholar 

  14. R.L. Dobrushin. Gibbs states describing the coexistence of phases for a three-dimensional Ising model, Teor. Ver. Prim. 17, 619–639 (1972) Translated in : Theory Probab. Appl. 17, 582–600 (1972)

    Google Scholar 

  15. R.L. Dobrushin, S. Shlosman, Absence of breakdown of continuous symmetry in two-dimensional models of statistical physics, Commun. Math. Phys. 42, 31–40 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  16. R.A. Minlos, E.A. Pechersky, S.A. Pirogov, Yu.M. Suhov, Gibbs random fields on the lattice. Definitions, existence, uniqueness, Eur. Phys. J. H (2012), DOI :10.1140/epjh/e2012-10049-7

  17. V.A. Malyshev, R.A. Minlos, Gibbs Random Fields. The method of cluster expansions (Nauka, Moscow, 1985). English translation by Kluwer, Academic Publishers, 1991.

  18. P. Bleher, Hierarchical models and renornalization group. Critical phenomena in the Dyson hierarchical model and renormalization group, Eur. Phys. J. H (2012), DOI :10.1140/epjh/e2012-10053-x

  19. B.M. Gurevich, Y.M. Suhov, Dynamical systems of infinitely many particles, Eur. Phys. J. H (2012), DOI :10.1140/epjh/e2012-10054-2

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ya. G. Sinai.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sinai, Y.G. From the seminar on Mathematical Statistical Physics in Moscow State University, 1962–1994. How everything started. EPJ H 37, 567–569 (2012). https://doi.org/10.1140/epjh/e2012-10055-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjh/e2012-10055-6

Keywords

Navigation