Holliday junctions in the set of DNA molecules for new translation-invariant Gibbs measures of the Potts model

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发表日期：

2024年2月27日

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N. M. Khatamov,
N. N. Malikov

摘要

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.