On Julia Set and Chaos in p-adic Ising Model on the Cayley Tree

Farrukh Mukhamedov; Otabek Khakimov

doi:10.1007/s11040-017-9254-0

On Julia Set and Chaos in p-adic Ising Model on the Cayley Tree

Farrukh Mukhamedov
, Otabek Khakimov

Department of Mathematical Sciences

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

21 Citations (Scopus)

Abstract

In this paper, we study the chaotic behavior of the p-adic Ising-Potts mapping associated with the p-adic Ising model on the Cayley tree. As an application of this result, we are able to show the existence of periodic (with any period) p-adic quasi Gibbs measures for the model.

Original language	English
Article number	23
Journal	Mathematical Physics Analysis and Geometry
Volume	20
Issue number	4
DOIs	https://doi.org/10.1007/s11040-017-9254-0
Publication status	Published - Dec 1 2017

Keywords

Chaos
Ising model
Periodic
Shift
p-adic numbers
p-adic quasi Gibbs measure

ASJC Scopus subject areas

Mathematical Physics
Geometry and Topology

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10.1007/s11040-017-9254-0

Cite this

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abstract = "In this paper, we study the chaotic behavior of the p-adic Ising-Potts mapping associated with the p-adic Ising model on the Cayley tree. As an application of this result, we are able to show the existence of periodic (with any period) p-adic quasi Gibbs measures for the model.",

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AB - In this paper, we study the chaotic behavior of the p-adic Ising-Potts mapping associated with the p-adic Ising model on the Cayley tree. As an application of this result, we are able to show the existence of periodic (with any period) p-adic quasi Gibbs measures for the model.

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KW - Periodic

KW - Shift

KW - p-adic numbers

KW - p-adic quasi Gibbs measure

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On Julia Set and Chaos in p-adic Ising Model on the Cayley Tree

Abstract

Keywords

ASJC Scopus subject areas

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