Limiting Gibbs measures of Potts model with countable set of spin values

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Limiting Gibbs measures of Potts model with countable set of spin values

We consider a nearest-neighbor Potts model, with countable spin values Φ = {0, 1, . . .}, and nonzero external field, on a Cayley tree of order k (with k + 1 neighbors). We study translation-invariant ‘splitting’ Gibbs measures. The problem is reduced to the description of the solutions of some infi...

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Bibliographic Details
Main Author:	Ganikhodjaev, Nasir
Format:	Article
Language:	English
Published:	Elsevier 2007
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/1645/ http://irep.iium.edu.my/1645/1/JMAA_paper.pdf

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