Skip to main content
Log in

On random fields corresponding to the BBGKY, Vlasov, and Boltzmann hierarchies

  • Published:
Theoretical and Mathematical Physics 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.

Literature Cited

  1. N. N. Bogolyubov, “Problems of a dynamical theory in statistical physics,” in: Studies in Statistical Mechanics, Vol. 1 (eds. J. de Boer and G. E. Uhlenbeck), North-Holland, Amsterdam (1962).

    Google Scholar 

  2. V. S. Vladimirov, Usp. Mat. Nauk,15, 129 (1960).

    Google Scholar 

  3. V. S. Vladimirov, Generalized Functions [in Russian], Nauka, Moscow (1979), p. 320.

    Google Scholar 

  4. N. Dunford and J. T. Schwartz, Linear Operators, Vol. 1, Interscience, New York (1958).

    Google Scholar 

  5. R. L. Dobrushin, Funktsional. Analiz i Ego Prilozhen.,13, 115 (1979).

    Google Scholar 

  6. V. P. Maslov, Operator Methods [in Russian], Nauka, Moscow (1973), p. 544.

    Google Scholar 

  7. V. P. Maslov, “Equations of self-consistent fields,” Itogi Nauki i Tekhniki, VINITI Akad. Nauk SSSR, Ser. Problemy Sovremennoi Matematiki,11, 153 (1978).

    Google Scholar 

  8. V. P. Maslov and V. I. Belavkin, Teor. Mat. Fiz.,33, 17 (1977).

    Google Scholar 

  9. V. P. Maslov and S. É. Tariverdiev, “Asymptotic behavior of the Kolmogorov-Feller equation for a system of a large number of particles,” Itogi Nauki i Tekhniki, VINITI Akad. Nauk SSSR, Ser. Teor. Veroyatn., Mat. Statistika, Teor. Kibernetika,19, 85 (1982).

    Google Scholar 

  10. A. M. Chebotarev, Dokl. Akad. Nauk SSSR,225, 763 (1975).

    Google Scholar 

  11. J. Batt, Ann. Nucl. Energy,7, 213 (1980).

    Google Scholar 

  12. W. Braun and K. Hepp, Commun. Math. Phys.,81, 9 (1977).

    Google Scholar 

  13. H. Narnhofer and G. L. Sewell, Commun. Math. Phys.,81, 9 (1981).

    Google Scholar 

  14. H. Spohn, Math. Meth. in Appl. Sci.,3, 445 (1981).

    Google Scholar 

Download references

Authors

Additional information

Moscow Institute of Electronic Engineering. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 54, No. 1, pp. 78–88, January, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maslov, V.P., Chebotarev, A.M. On random fields corresponding to the BBGKY, Vlasov, and Boltzmann hierarchies. Theor Math Phys 54, 48–55 (1983). https://doi.org/10.1007/BF01017123

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017123

Keywords

Navigation