Stochastic processes and their applications vol:79 issue:1 pages:1-15
We consider two possible extensions of the standard definition of Gibbs measures for lattice spin systems. When a random field has conditional distributions which are almost surely continuous (almost Gibbsian held), then there is a potential for that held which is almost surely summable (weakly Gibbsian held). This generalizes the standard Kozlov theorems. The converse is not true in general as is illustrated by counterexamples. (C) 1999 Elsevier Science B.V. All rights reserved.