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

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Abstract

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.

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Authors and Affiliations

  1. Institute for Theoretical Physics, Rijksuniversiteit Groningen, 9747 AG, Groningen, The Netherlands;

    Aernout C. D. van Enter

  2. CNRS Luminy, Case 907, CPT, F13288, Marseille Cedex 9, France;

    Senya B. Shlosman

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  1. Aernout C. D. van Enter
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  2. Senya B. Shlosman
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van Enter, A.C.D., Shlosman, S.B. (Almost) Gibbsian Description of the Sign Fields of SOS Fields. Journal of Statistical Physics 92, 353–368 (1998). https://doi.org/10.1023/A:1023024218192

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