%0 Journal Article
%T On Gibbsianness of Random Fields
%A Serguei Dachian
%A Boris Nahapetian
%J Mathematics
%D 2006
%I arXiv
%X The problem of characterization of Gibbs random fields is considered. Various Gibbsianness criteria are obtained using the earlier developed one-point framework which in particular allows to describe random fields by means of either one-point conditional or one-point finite-conditional distributions. The main outcome are the criteria in terms of one-point finite-conditional distribution, one of which can be taken as a purely probabilistic definition of Gibbs random field.
%U http://arxiv.org/abs/math/0609688v2