The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three

Alp, M. and Pah, Chin Hee and Saburov, M. K. (2023) The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three. Theoretical and Mathematical Physics, 214 (3). pp. 406-420. ISSN 0040-5779 E-ISSN 1573-9333

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Abstract

We describe generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three, confirming and extending the related results in the literature. We introduce a cube root function over the p-adic field Qp, which enables us to explicitly prescribe all roots of the cubic monomial equation over Qp

Item Type:	Article (Journal)
Uncontrolled Keywords:	Gibbs measure, Potts model, Cayley tree, p-adic field
Subjects:	Q Science > QA Mathematics > QA300 Analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	DR. CHIN HEE PAH
Date Deposited:	22 Mar 2023 14:09
Last Modified:	09 May 2024 12:25
URI:	http://irep.iium.edu.my/id/eprint/104186

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