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Pré-Publication, Document De Travail Année : 2006

On Gibbsianness of Random Fields

Résumé

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, on the basis of which a simple and comprehensible definition of Gibbs random field is given.
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Dates et versions

hal-00098282 , version 1 (25-09-2006)
hal-00098282 , version 2 (12-09-2007)

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Serguei Dachian, Boris Nahapetian. On Gibbsianness of Random Fields. 2006. ⟨hal-00098282v1⟩
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