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Description of the Translation-Invariant Splitting Gibbs Measures for the Potts Model on a Cayley Tree

✍ Scribed by Külske, C.; Rozikov, U. A.; Khakimov, R. M.


Book ID
125364465
Publisher
Springer
Year
2014
Tongue
English
Weight
184 KB
Volume
156
Category
Article
ISSN
0022-4715

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On uniqueness of Gibbs measure for -adic
✍ Andrei Khrennikov; Farrukh Mukhamedov 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 403 KB

In the present paper we consider countable state of p-adic Potts model on the tree. Under some condition on weights we establish uniqueness of Gibbs measures for the model. Note that this condition does not depend on values of the prime p. An analogous fact is not true when the number of spins is fi