Uniqueness of 3-adic periodic Gibbs measures for theIsing model on a (2,3)-ary tree

Authors

DOI:

https://doi.org/10.56143/ujmcs.v2i3s.14

Keywords:

p-adic numbers; Ising model; Gibbs measure; (i, k)-ary tree.

Abstract

In this paper, translation-invariant 3-adic Gibbs measures for the Ising model on a (2, 3)-ary tree are studied. The dynamics of the function corresponding to this model is investigated, and the existence of a unique global attracting fixed point is proved.

Author Biography

  • Akbarkhuja Tukhtabaev, Namangan State University

     Namangan state university, Dept. of Mathematics, 160107, Boburshoh street, Namangan, Uzbekistan. 

References

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Published

2026-08-30

How to Cite

Uniqueness of 3-adic periodic Gibbs measures for theIsing model on a (2,3)-ary tree. (2026). Uzbekistan Journal of Mathematics and Computer Science , 2(1), 170-178. https://doi.org/10.56143/ujmcs.v2i3s.14

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