Redig F.,Maes C., Van Moffaert A.
Almost Gibbsian versus Weakly Gibbsian measures
(355K, Postscript)

ABSTRACT.  We consider various extensions of the standard definition of Gibbs
states for lattice spin systems.  When a random field has conditional
distributions which are almost surely continuous (almost Gibbsian field),
then  there is a potential for that field which is almost surely summable
(weakly Gibbsian field).  This generalizes the standard Kozlov-Sullivan
theorems.  The converse is not true
in general. We give (counter)examples illustrating the relation between
topological and measure-theoretic aspects of generalized Gibbs
definitions.