Condensed Matter Physics, 2008, vol. 11, No. 2(54), p. 313, English
DOI:10.5488/CMP.11.2.313
Title:
Bassalygo-Dobrushin uniqueness for continuous spin systems on irregular graphs
Author(s):
 
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D.Kępa
(Instytut Matematyki, Uniwersytet Marii Curie-Skłodowskiej, 20-031 Lublin, Poland)
,
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Yu.Kozitsky
(Instytut Matematyki, Uniwersytet Marii Curie-Skłodowskiej, 20-031 Lublin, Poland)
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An extension of the Bassalygo-Dobrushin technique of proving uniqueness of Gibbs fields on irregular graphs, developed in [Theory of Probab. Appl., 1986, 31, 572-589], to the case of continuous spins has been presented.
Key words:
Gibbs random field, Gibbs specification, Polish space, sparse graph
PACS:
05.20.Gg, 05.30.Ch
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