Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree

Mukhamedov, Farrukh (2012) Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree. Journal of Inequalities and Applications, 104. pp. 1-12. ISSN 1029-242X

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Abstract

In the present article, we provide a new construction of measure, called p-adic quasi Gibbs measure, for countable state of p-adic Potts model on the Cayley tree. Such a construction depends on a parameter p and wights. In particular case, i.e., if p = exp_p, the defined measure coincides with p-adic Gibbs measure. In this article, under some condition on weights we establish the existence of p-adic quasi Gibbs measures associated with the model. Note that this condition does not depend on values of the prime p. An analogues fact is not valid when the number of spins is finite.

Item Type:	Article (Journal)
Additional Information:	5537/24952
Uncontrolled Keywords:	countable, p-adic numbers, Potts model, Gibbs measure, uniqueness
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	10 Aug 2012 15:03
Last Modified:	10 Aug 2012 15:03
URI:	http://irep.iium.edu.my/id/eprint/24952

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