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

Dogan, Mutlay (2017) Construction of p-Adic Gibbs Measure for p-Adic λ-Ising Model. Eurasian Journal of Science and Engineering, 3 (1). pp. 192-197. ISSN 24145629

Text (Research Article) eajse.v3i1sip192.pdf - Published Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (601kB)

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.

Actions (login required)

View Item