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Article

A weakly periodic Gibbs measure for the ferromagnetic Potts model on a Cayley tree

M. M. RahmatullaevInstitute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan
Siberian Mathematical Journaljournal2015en
ABI

Abstract

We study the Potts model with q states in a Cayley tree of order k ≥ 2. For the ferromagnetic Potts model, we prove the existence of a weakly periodic Gibbs measure that is not translationinvariant.

Topics

Theoretical and Computational PhysicsStochastic processes and statistical mechanicsMarkov Chains and Monte Carlo Methods

Identifiers

DOI
10.1134/s0037446615050158

Citations and references

Cited by 218 references
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