The Potts model with countable set of spin values on a Cayley tree

We consider a nearest-neighbor Potts model, with countable spin values 0, 1, . . .,and non zero external field, on a Cayley tree of order k (with k+1 neighbors). We study translation-invariant ‘splitting’ Gibbs measures. We reduce the problem to the description of the solutions of some infinite sys...

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Bibliographic Details
Main Authors: Ganikhodjaev, Nasir, Rozikov, Utkir Abdulloevich
Format: Article
Language:English
Published: Springer Netherlands 2006
Subjects:
Online Access:http://irep.iium.edu.my/14417/
http://irep.iium.edu.my/14417/
http://irep.iium.edu.my/14417/
http://irep.iium.edu.my/14417/1/gnnru_lmp%2806%29%5B1%5D.pdf