Almost Gibbsian versus weakly Gibbsian measures

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 field), then there is a potential for that field which is almost surely summable (weakly Gibbsian field). This generalizes the standard Kozlov theorems. The converse is not true in general as is illustrated by counterexamples.

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Year of publication:	1999
Authors:	Maes, C. ; Redig, F. ; Moffaert, A. Van ; Leuven, K. U.
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 79.1999, 1, p. 1-15
Publisher:	Elsevier
Subject:	Gibbs formalism Non-Gibbsian states

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008875812