Theoretical and Mathematical Physics

, Volume 11, Issue 2, pp 487–494 | Cite as

Construction of dynamics in one-dimensional systems of statistical mechanics

  • Ya. G. Sinai


Statistical Mechanic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    N. N. Bogolyubov, D. Ya. Petrina, and V. I. Khatset, Teor. Mat. Fiz.,1, 251 (1969).Google Scholar
  2. 2.
    R. L. Dobrushin, Teoriya Veroyatnostei i Ee Primeneniya,2, 201 (1968).Google Scholar
  3. 3.
    R. A. Minlos, Funktsional'nyi Analiz i Ego Prilozheniya,2, 60 (1967).Google Scholar
  4. 4.
    D. Ruelle, Statistical Mechanics, New York (1969).Google Scholar
  5. 5.
    O. Lanford, Commun. Math. Phys.,9, 179 (1968).Google Scholar
  6. 6.
    O. Lanford, Commun. Math. Phys.,11, 257 (1969).Google Scholar
  7. 7.
    R. A. Minlos and A. M. Khalfina, Izv. Akad. Nauk SSSR, Ser. Matem.,34, 1173 (1970).Google Scholar
  8. 8.
    A. M. Khalfina, Matem. Sb.,80, 3 (1969).Google Scholar
  9. 9.
    A. Khaitov, Tr. Mosk. Matem. Ob-va (1973) (in press).Google Scholar
  10. 10.
    D. Ruelle, Commun. Math. Phys.,9, 267 (1968).Google Scholar
  11. 11.
    R. L. Dobrushin, Funktsional'nyi Analiz i Ego Prilozheniya,1, 27 (1969).Google Scholar
  12. 12.
    N. N. Bogolyubov, “Problems of a dynamical theory in statistical physics,” in: Studies in Statistical Mechanics, Vol. 1 (ed. J. de Boer and G. E. Uhlenbeck), North-Holland, Amsterdam (1962).Google Scholar
  13. 13.
    N. N. Bogolyubov, Zh. Éksp. Teor. Fiz.,16, 691 (1946).Google Scholar
  14. 14.
    W. Feller, An Introduction to Probability Theory and Its Applications, Vol. 1, Wiley, New York (1950).Google Scholar

Copyright information

© Consultants Bureau 1973

Authors and Affiliations

  • Ya. G. Sinai

There are no affiliations available

Personalised recommendations