Article

Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree

M. M. RakhmatullaevNational University of Uzbekistan, Institute of Mathematics, Tashkent, 100125, UzbekistanM. A. RasulovaNamangan State University, Namangan, 716019, Uzbekistan

Siberian Advances in Mathematicsjournal2016en

ABI

Abstract

We consider the Potts model with competing interactions on the Cayley tree of order k with k ≥ 2. We describe the sets of periodic and weakly periodic ground states corresponding to normal subgroups of the group representation of the Cayley tree of index 4.

Topics

Quantum chaos and dynamical systems Opinion Dynamics and Social Influence Random Matrices and Applications

Identifiers

DOI: 10.3103/s1055134416030056

Citations and references

Cited by 12 10 references

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