On Gibbsianness of Random Fields
Probability
2010-04-05 v2 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.math/0609688,
title = {On Gibbsianness of Random Fields},
author = {Serguei Dachian and Boris Nahapetian},
journal= {arXiv preprint arXiv:math/0609688},
year = {2010}
}