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


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Statistical Mechanic 
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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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