On periodic Gibbs measures of p-adic Potts model on a Cayley tree

F. Mukhamedov; O. Khakimov

doi:10.1134/S2070046616030043

On periodic Gibbs measures of p-adic Potts model on a Cayley tree

F. Mukhamedov
, O. Khakimov

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

In the present paper, we study the existence of periodic p-adic quasi Gibbs measures of p-adic Potts model over the Cayley tree of order two. We first prove that the renormalized dynamical system associated with the model is conjugate to the symbolic shift. As a consequence of this result we obtain the existence of countably many periodic p-adic Gibbs measures for the model.

Original language	English
Pages (from-to)	225-235
Number of pages	11
Journal	P-Adic Numbers, Ultrametric Analysis, and Applications
Volume	8
Issue number	3
DOIs	https://doi.org/10.1134/S2070046616030043
Publication status	Published - Jul 1 2016
Externally published	Yes

Keywords

Potts model
p-adic numbers
p-adic quasi Gibbs measure
periodic
shift

ASJC Scopus subject areas

General Mathematics

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10.1134/S2070046616030043

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abstract = "In the present paper, we study the existence of periodic p-adic quasi Gibbs measures of p-adic Potts model over the Cayley tree of order two. We first prove that the renormalized dynamical system associated with the model is conjugate to the symbolic shift. As a consequence of this result we obtain the existence of countably many periodic p-adic Gibbs measures for the model.",

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AU - Khakimov, O.

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AB - In the present paper, we study the existence of periodic p-adic quasi Gibbs measures of p-adic Potts model over the Cayley tree of order two. We first prove that the renormalized dynamical system associated with the model is conjugate to the symbolic shift. As a consequence of this result we obtain the existence of countably many periodic p-adic Gibbs measures for the model.

KW - Potts model

KW - p-adic numbers

KW - p-adic quasi Gibbs measure

KW - periodic

KW - shift

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On periodic Gibbs measures of p-adic Potts model on a Cayley tree

Abstract

Keywords

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