On p-state p-adic Potts model on a Cayley tree

2014/02/28 by Отабек Норбутугли Хакимов, Khakimov, Otabek
Computer Science · Mathematics · #Chaos-based Image/Signal Encryption #FOS: Mathematics #Functional Analysis (math.FA) #Topological and Geometric Data Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1402.7171

openalex publication_date 2014/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work is devoted to description of all translation-invariant p-adic Gibbs measures for the q-state Potts model on a Cayley tree. In particular for the Cayley tree of order three we give exact number of such measures.

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