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Communications in Mathematical Physics

, Volume 48, Issue 3, pp 249–265 | Cite as

Applications of the stochastic Ising model to the Gibbs states

  • Richard A. Holley
  • Daniel W. Stroock
Article

Abstract

The stochastic Ising model is used as a tool to prove theorems concerning analyticity of the correlation functions and strong cluster properties of the Gibbs states.

Keywords

Neural Network Statistical Physic Correlation Function Complex System Nonlinear Dynamics 
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

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    Holley, R., Stroock, D.:L 2 theory for the stochastic Ising model. Z. Wahrscheinlichkeitstheorie verw. Gebiete35, 87–101 (1976)Google Scholar
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    Liggett, T. M.: Existence theorems for infinite particle systems. Trans. Amer. Math. Soc.165, 471–481 (1972)Google Scholar
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    Sullivan, W. G.: A unified existence and ergodic theorem for Markov evolution of random fields. Z. Wahrscheinlichkeitstheorie verw. Geb.31, 47–56 (1974)Google Scholar
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    Israel, R. B.: High-Temperature Analyticity in Classical Lattice Systems. Commun. math. Phys., in press (1976)Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Richard A. Holley
    • 1
  • Daniel W. Stroock
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoBoulderUSA

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