Journal of Statistical Physics

, Volume 92, Issue 3–4, pp 353–368 | Cite as

(Almost) Gibbsian Description of the Sign Fields of SOS Fields

  • Aernout C. D. van Enter
  • Senya B. Shlosman


An example is presented of a measure on a lattice system which has a measure zero set of points (configurations) where some conditional probability can be discontinuous, but does not become a Gibbs measure under decimation (or other) transformations. We also discuss some related issues.

Non-Gibbsian measures weak versus strong non-Gibbsianness robustly non-Gibbsian measures projected Gibbs measures cluster models 


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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • Aernout C. D. van Enter
    • 1
  • Senya B. Shlosman
    • 2
  1. 1.Institute for Theoretical PhysicsGroningenThe Netherlands;
  2. 2.CNRS Luminy, Case 907, CPTMarseille Cedex 9France;

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