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Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree

โœ Scribed by U. A. Rozikov; M. M. Rakhmatullaev

Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
344 KB
Volume
160
Category
Article
ISSN
0040-5779

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๐Ÿ“œ SIMILAR VOLUMES

On uniqueness of Gibbs measure for -adic
On uniqueness of Gibbs measure for -adic countable state Potts model on the Cayley tree
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