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Uniqueness of p-Adic Gibbs Measures for p-Adic \(\lambda \)-Ising Model on Cayley Tree of Arbitrary Order

  • Mutlay DoganEmail author
Conference paper
  • 44 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 317)

Abstract

In this chapter, we consider an interaction of the nearest-neighbors and next nearest-neighbors for the mixed type p-adic \(\lambda \)-Ising model with spin values \(\left\{ -1,+1\right\} \) on Cayley tree of arbitrary order. We prove the existence and uniqueness of the p-adic Gibbs measures for the mixed type p-adic \(\lambda \)-Ising model on the Cayley tree of arbitrary order.

Keywords

p-adic numbers Gibbs measures Cayley tree 

Notes

Acknowledgements

The author thanks to Prof. Dr. Farrukh Mukhamedov and Prof. Dr. Hasan Akin for their valuable ideas and supports.

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Authors and Affiliations

  1. 1.Faculty of Pure and Applied Sciences, School of Mathematics, Physics and TechnologyUniversity of BahamasNassauBahamas

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