Communications in Mathematical Physics

, Volume 67, Issue 3, pp 251–266 | Cite as

The infinite cluster method in the two-dimensional Ising model

  • Lucio Russo


By studying infinite clusters in the two dimensional ferromagnetic Ising model some new results on the problem of existence of non-translation invariant equilibrium states are obtained. Furthermore a new proof of a theorem by Abraham and Reed is given.


Neural Network Statistical Physic Equilibrium State Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Lucio Russo
    • 1
  1. 1.Istituto MatematicoUniversità di ModenaModenaItaly

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