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Theoretical and Mathematical Physics

, Volume 76, Issue 2, pp 848–855 | Cite as

Invariant measures of one-dimensional dynamical systems of anharmonic oscillators

  • O. G. Martirosyan
Article
  • 36 Downloads

Keywords

Dynamical System Invariant Measure Anharmonic Oscillator 
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Literature Cited

  1. 1.
    R. L. Dobrushin, Ya. G. Sinai, and Yu. M. Sukhov, “Dynamical systems of statistical mechanics and kinetic equations,” in: Modern Problems of Mathematics. Fundamental Directions, Vol. 2 [in Russian], Itogi Nauki i Tekhniki (Reviews of Science and Technology), VINITI, USSR Academy of Sciences, Moscow (1985), p. 235.Google Scholar
  2. 2.
    D. Ya. Petrina, V. I. Gerasimenko, and P. V. Malyshev, Mathematical Foundations of Classical Statistical Mechanics [in Russian], Naukova Dumka, Kiev (1985).Google Scholar
  3. 3.
    O. E. Lanford and J. L. Lebowitz, Lect. Notes in Phys.,38, 144 (1975).Google Scholar
  4. 4.
    O. E. Lanford, J. L. Lebowitz, and E. Leib, J. Stat. Phys.,16, 453 (1977).Google Scholar
  5. 5.
    C. Marchioro, A. Pellegrinotti, and M. Pulvirenti, in: Random Fields. Rigorous Results in Statistical Mechanics and Quantum Field Theory, Vol. 11, North-Holland, amsterdam (1981), p. 733.Google Scholar
  6. 6.
    J. Fritz, J. Stat. Phys.,33, 397 (1984).Google Scholar
  7. 7.
    B. M. Gurevich, Ya. G. Sinai, and Yu. M. Sukhov, Usp. Mat. Nauk,28, 45 (1973).Google Scholar
  8. 8.
    B. M. Gurevich and Yu. M. Suhov, J. Math. Phys.,49, 69 (1976);54, 81 (1977);56, 225 (1977);84, 333 (1982).Google Scholar
  9. 9.
    Yu. M. Sukhov, Teor. Mat. Fiz.,55, 78 (1983).Google Scholar
  10. 10.
    I. Yu. Musina, Teor. Mat. Fiz.,69, 259 (1986).Google Scholar
  11. 11.
    B. M. Gurevich, Usp. Mat. Nauk,41, 193 (1986).Google Scholar
  12. 12.
    J. L. Lebowitz and E. Presutti, Commun. Math. Phys.,50, 195 (1976).Google Scholar
  13. 13.
    C. Marchioro, A. Pellegrinotti, M. Pulvirenti, and Yu. M. Suhov, Commun. Math. Phys.,66, 131 (1979).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • O. G. Martirosyan

There are no affiliations available

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