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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Format: | Article |
Language: | English |
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Elsevier
2007
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Online Access: | http://irep.iium.edu.my/1645/ http://irep.iium.edu.my/1645/ http://irep.iium.edu.my/1645/ http://irep.iium.edu.my/1645/1/JMAA_paper.pdf |