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Non-uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree

โœ Scribed by Eshkabilov, Y. K.; Haydarov, F. H.; Rozikov, U. A.


Book ID
113072648
Publisher
Springer
Year
2012
Tongue
English
Weight
566 KB
Volume
147
Category
Article
ISSN
0022-4715

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On uniqueness of Gibbs measure for -adic
โœ Andrei Khrennikov; Farrukh Mukhamedov ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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