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

2014/03/17 by Otabek Khakimov, Khakimov, Otabek
Computer Science · Mathematics · #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Topological and Geometric Data Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1403.4236

openalex publication_date 2014/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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