G. I. Botirov, U. U. Qayumov, “Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree”, TMF, 2021, Volume 209, Number 2,Pages <nobr>367

This article is cited in 4 papers

Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree

G. I. Botirov^ab, U. U. Qayumov^c

^a Romanovskiy Institute of Mathematcs, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
^b University of Geological Sciences, Tashkent, Tashkent, Uzbekistan
^c The Denau Institute of Entrepreneurship and Pedagogy, Denau, Uzbekistan

Abstract: We construct some finitely periodic ground states for the Potts model with competing interactions and a countable set of spin values on the Cayley tree of order four.

Keywords: Cayley tree, Potts model, competing interactions, countable spin values, ground state.

MSC: 82B20, 82B26, 60K35.

Received: 17.05.2021
Revised: 24.08.2021

DOI: 10.4213/tmf10128