Acd. Vanenter et Sb. Shlosman, (ALMOST) GIBBSIAN DESCRIPTION OF THE SIGN FIELDS OF SOS FIELDS, Journal of statistical physics, 92(3-4), 1998, pp. 353-368
An example is presented of a measure on a lattice system which has a m
easure zero set of points (configurations) where some conditional prob
ability can be discontinuous, but does not become a Gibbs measure unde
r decimation (or other) transformations. We also discuss some related
issues.