Skip to main content
Log in

A definition of Gibbs state for a compact set with Zv action

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

The definition of Gibbs states used in the equilibrium statistical mechanics of lattice spin systems is extended to apply to a compact metrizable space, where Zv acts by an expansive group of homeomorphisms.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Dobrushin, R. L.: Funct. Anal. Appl.2, 292–301 (1968);

    Google Scholar 

  2. Lanford, O. E., Ruelle, D.: Commun. math. Phys.13, 194–215 (1969);

    Google Scholar 

  3. Ruelle, D.: Trans. Am. Math. Soc.185, 237–251 (1973)

    Google Scholar 

  4. Sinai, Ya. G.: Funkts. Anal. Pril.2, 64–89 (1968);

    Google Scholar 

  5. Ruelle, D., Sullivan, D.: Currents, Flows and Diffeomorphisms, 0000

  6. Ruelle, D.: Statistical Mechanics. New York: Benjamin 1969

    Google Scholar 

  7. Arnold, V. I., Avez, A.: Problèmes Ergodiques de la Mécanique Classique. Paris: Gauthier-Villars 1967

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by G. Gallavotti

Rights and permissions

Reprints and permissions

About this article

Cite this article

Capocaccia, D. A definition of Gibbs state for a compact set with Zv action. Commun.Math. Phys. 48, 85–88 (1976). https://doi.org/10.1007/BF01609413

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01609413

Keywords

Navigation