Theoretical and Mathematical Physics

, Volume 83, Issue 1, pp 353–361 | Cite as

The Lee-Yang property for some isotropic spin models

  • Yu. V. Kozitskii
Article
  • 32 Downloads

Keywords

Spin Model Isotropic Spin 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    L. Iliev, Laguerre Entire Functions, Publishing House of the Bulgarian Academy of Sciences, Sofia (1987).Google Scholar
  2. 2.
    Yu. V. Kozitskii and N. O. Mel'nik, Teor. Mat. Fiz.,78, 177 (1989).Google Scholar
  3. 3.
    E. H. Lieb and A. D. Sokal, Commun. Math. Phys.,80, 153 (1981).Google Scholar
  4. 4.
    F. J. Dyson, Commun. Math. Phys.,12, 91 (1969).Google Scholar
  5. 5.
    P. M. Bleher and P. Major, Ann. Probability,15, 431 (1987).Google Scholar
  6. 6.
    Yu. V. Kozitskii and I. R. Yukhnovskii, Teor. Mat. Fiz.,51, 268 (1982); Yu. V. Kozitskii, Teor. Mat. Fiz.,58, 96 (1984).Google Scholar
  7. 7.
    Yu. V. Kozitskii, “Hierarchical model of a vector ferromagnet in the method of collective variables. Self-similar distributions of the block spin,” Preprint No. 86.27 [in Russian], Institute of Mathematics, Ukrainian SSR Academy of Sciences, Kiev (1986).Google Scholar
  8. 8.
    P. M. Blekher, Teor. Mat. Fiz.,50, 370 (1982).Google Scholar
  9. 9.
    M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 1, Academic Press, New York (1972). (Russian translation published by Mir, Moscow (1977).)Google Scholar
  10. 10.
    H. Weyl, The Classical Groups, their Invariants and Representations, Princeton (1939). (Russian translation published by Mir, Moscow (1969).)Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • Yu. V. Kozitskii

There are no affiliations available

Personalised recommendations