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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 209, Number 2, Pages 367–377
DOI: https://doi.org/10.4213/tmf10128 (Mi tmf10128) 		 
This article is cited in 4 scientific papers (total 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. Botirovab, U. U. Qayumovc

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
Full-text PDF (406 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf10128
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.
Received: 17.05.2021
Revised: 24.08.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 209, Issue 2, Pages 1633–1642
DOI: https://doi.org/10.1134/S004057792111009X
Bibliographic databases:
Document Type: Article
MSC: 82B20, 82B26, 60K35.
Language: Russian
Citation: 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, 209:2 (2021), 367–377; Theoret. and Math. Phys., 209:2 (2021), 1633–1642
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v209/i2/p367
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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