Skip to main content
Log in

Asymptotic behavior of Gibbsian distributions for lattice systems and its dependence on the form of the volume

  • 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. D. Ruelle, Statistical Mechanics. Rigorous Results, New York-Amsterdam (1969).

    Google Scholar 

  2. R. L. Dobrushin, Funktsional'. Analiz i Ego Prilozhen.,2, 44 (1968).

    Google Scholar 

  3. R. L. Dobrushin, Funktsional'. Analiz i Ego Prilozhen.,2, 31 (1968).

    Google Scholar 

  4. O. E. Lanford III and D. Ruelle, Commun. Math. Phys.,13, 194 (1968).

    Google Scholar 

  5. I. A. Ibragimov and Yu. L. Rozanov, Gaussian Random Processes [in Russian], Nauka (1970).

  6. R. A. Minlos, Funktsional'. Analiz i Ego Prilozhen.,1, 40 (1967).

    Google Scholar 

  7. R. A. Minlos and Ya. G. Sinai, Trudy Moskovsk. Matem. Obshch.,17, 213 (1967).

    Google Scholar 

  8. R. A. Minlos and Ya. G. Sinai, Trudy Moskovsk. Matem. Obshch.,19, 113 (1968).

    Google Scholar 

  9. R. L. Dobrushin, Teoriya Veroyatnostei i ee Primeneniya,15, 469 (1970).

    Google Scholar 

  10. R. L. Dobrushin, Proc. Fifth Berkeley Symp. on Math. Stat. and Prob.,3, 73 (1968).

    Google Scholar 

  11. R. L. Dobrushin, Funktsional'. Analiz i Ego Prilozhen.,3, 27 (1969).

    Google Scholar 

  12. J. L. Doob, Stochastic Processes, Wiley, New York (1953).

    Google Scholar 

  13. R. L. Dobrushin, Teoriya Veroyatnostei i ee Primeneniya,13, 201 (1968).

    Google Scholar 

  14. R. L. Dobrushin, Teoriya Veroyatnostei i ee Primeneniya,10, 209 (1965).

    Google Scholar 

  15. I. L. Lebowitz, Ann. Rev. Phys. Chem.,19, 389 (1968).

    Google Scholar 

Download references

Authors

Additional information

Institute of Problems of Information Communication, Academy of Sciences of the USSR. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 12, No. 1, pp. 115–134, July, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dobrushin, R.L. Asymptotic behavior of Gibbsian distributions for lattice systems and its dependence on the form of the volume. Theor Math Phys 12, 699–711 (1972). https://doi.org/10.1007/BF01030046

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01030046

Keywords

Navigation