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Communications in Mathematical Physics

, Volume 48, Issue 1, pp 85–88 | Cite as

A definition of Gibbs state for a compact set with Z v action

  • D. Capocaccia
Article

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 Z v acts by an expansive group of homeomorphisms.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Statistical Mechanic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Dobrushin, R. L.: Funct. Anal. Appl.2, 292–301 (1968);Google Scholar
  2. 1a.
    Lanford, O. E., Ruelle, D.: Commun. math. Phys.13, 194–215 (1969);Google Scholar
  3. 1b.
    Ruelle, D.: Trans. Am. Math. Soc.185, 237–251 (1973)Google Scholar
  4. 2.
    Sinai, Ya. G.: Funkts. Anal. Pril.2, 64–89 (1968);Google Scholar
  5. 2a.
    Ruelle, D., Sullivan, D.: Currents, Flows and Diffeomorphisms, 0000Google Scholar
  6. 3.
    Ruelle, D.: Statistical Mechanics. New York: Benjamin 1969Google Scholar
  7. 4.
    Arnold, V. I., Avez, A.: Problèmes Ergodiques de la Mécanique Classique. Paris: Gauthier-Villars 1967Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • D. Capocaccia
    • 1
    • 2
  1. 1.Istituto di MatematicaUniversità di CamerinoCamerino
  2. 2.GNSM-CNR, Istituto di FisicaUniversità di RomaRomaItaly

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