(Almost) Gibbsian description of the sign fields of SOS fields

Aernout C.D. Van Enter, Senya B. Shlosman

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9 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)353-368
Number of pages16
JournalJournal of Statistical Physics
Issue number3-4
Publication statusPublished - Aug 1998
Externally publishedYes


  • Cluster models
  • Non-Gibbsian measures
  • Projected Gibbs measures
  • Robustly non-Gibbsian measures
  • Weak versus strong non-Gibbsianness


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