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):
  D.Kępa (Instytut Matematyki, Uniwersytet Marii Curie-Skłodowskiej, 20-031 Lublin, Poland) ,
  Yu.Kozitsky (Instytut Matematyki, Uniwersytet Marii Curie-Skłodowskiej, 20-031 Lublin, Poland)

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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