Constraction of p-Adic Gibbs Measure for p-Adic λ-Ising Model

Author : Mutlay Dogan

Abstract:   In this work we establish the existence of the p-adic Gibbs measure for the p-adic λ-Ising model on the Cayley tree of order two. In the previous studies, p-adic Ising model and p-adic λ-model were distinctly studied in many papers with the various properties. In this work, it is the first we combined both p-adic Ising model and p-adic λ-model on the Cayley tree of order two. In this research we only establish the model and we proved the existence of the p-adic Gibbs measures in the p-adic case. Here, we use the methods of p-adic analysis, and then, our results do not work in the real case.

Keywords: p-Adic Numbers, p-Adic Quasi Gibbs Measure, Dynamical System, Cayley Tree

doi: 10.23918/eajse.v3i1sip192

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Eurasian Journal of Science & Engineering
ISSN 2414-5629 (Print), ISSN 2414-5602 (Online)