Geodesic
Holliday junctions in the~set of DNA molecules for new translation-invariant Gibbs measures of the~Potts model
Teoretičeskaâ i matematičeskaâ fizika, Tome 218 (2024) no. 2, pp. 400-411

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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. 
@article{TMF_2024_218_2_a10,
     author = {N. M. Khatamov and N. N. Malikov},
     title = {Holliday junctions in the~set of {DNA} molecules for new translation-invariant {Gibbs} measures of {the~Potts} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {400--411},
     publisher = {mathdoc},
     volume = {218},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2024_218_2_a10/}
}
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N. M. Khatamov; N. N. Malikov. Holliday junctions in the~set of DNA molecules for new translation-invariant Gibbs measures of the~Potts model. Teoretičeskaâ i matematičeskaâ fizika, Tome 218 (2024) no. 2, pp. 400-411. http://geodesic.mathdoc.fr/item/TMF_2024_218_2_a10/