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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 218, Number 2, Pages 400–411
DOI: https://doi.org/10.4213/tmf10515 (Mi tmf10515) 		 
Holliday junctions in the set of DNA molecules for new translation-invariant Gibbs measures of the Potts model

N. M. Khatamova, N. N. Malikovab

a Romanovskiy Institute of Mathematcs, Academy of Sciences of the Republic of Uzbekistan, Tashkent, Uzbekistan
b Namangan State University, Namangan, Uzbekistan
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DOI: https://doi.org/10.4213/tmf10515
Abstract: We consider a DNA molecule as a configuration of the Potts model on paths of the Cayley tree. For this model, we study new translation-invariant Gibbs measures. We find exact values of the parameter establishing the uniqueness of translation-invariant Gibbs measures. Each such measure describes the state (phase) of a set of DNA molecules. These Gibbs measures are used to study probability distributions of the Holliday junctions in the DNA molecules.
Keywords: Cayley tree, Potts model, Gibbs measure, Holliday junction.
Received: 07.04.2023
Revised: 02.05.2023
English version:
Theoretical and Mathematical Physics, 2024, Volume 218, Issue 2, Pages 346–356
DOI: https://doi.org/10.1134/S0040577924020119
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. M. Khatamov, N. N. Malikova, “Holliday junctions in the set of DNA molecules for new translation-invariant Gibbs measures of the Potts model”, TMF, 218:2 (2024), 400–411; Theoret. and Math. Phys., 218:2 (2024), 346–356
Citation in format AMSBIB
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\by N.~M.~Khatamov, N.~N.~Malikova
\paper Holliday junctions in the~set of DNA molecules for new translation-invariant Gibbs measures of the~Potts model
\jour TMF
\yr 2024
\vol 218
\issue 2
\pages 400--411
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\crossref{https://doi.org/10.4213/tmf10515}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4710026}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2024TMP...218..346K}
\transl
\jour Theoret. and Math. Phys.
\yr 2024
\vol 218
\issue 2
\pages 346--356
\crossref{https://doi.org/10.1134/S0040577924020119}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85185909211}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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