English

On $p$-adic Hard Sphere model with three states on a Cayley tree

Mathematical Physics 2014-03-31 v1 Functional Analysis math.MP

Abstract

We study pp-adic model of hard spheres with three states on the Cayley tree. We show that there exist three translation-invariant pp-adic Gibbs measures and two periodic measures on a Cayley tree of oreder two.

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Cite

@article{arxiv.1403.4236,
  title  = {On $p$-adic Hard Sphere model with three states on a Cayley tree},
  author = {Otabek Khakimov},
  journal= {arXiv preprint arXiv:1403.4236},
  year   = {2014}
}

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in Russian

R2 v1 2026-06-22T03:28:34.320Z