Holliday junctions in the Blume-Capel model of DNA

DOI10.1134/S0040577921030090zbMath1467.92145OpenAlexW3173348074MaRDI QIDQ2036354

N. M. Khatamov

Publication date: 29 June 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577921030090

zbMATH Keywords

Blume-Capel modelCayley treeGibbs measureHolliday junction

Mathematics Subject Classification ID

Protein sequences, DNA sequences (92D20)

Related Items

Extremality of some Gibbs measures for the Blume–Capel HC-model on a Cayley tree, Extremality of Gibbs measures for the \(HC\)-Blume-Capel model on the Cayley tree, Periodic Gibbs measures and their extremes for the HC-Blume-Capel model in the case of a ``wand on the Cayley tree, Holliday junctions in the set of DNA molecules for new translation-invariant Gibbs measures of the Potts model

Cites Work

• Description of periodic \(p\)-harmonic functions on Cayley tree
• Gibbs measures and phase transitions
• Metastability and nucleation for the Blume-Capel model. Different mechanisms of transition.
• Tree-hierarchy of DNA and distribution of Holliday junctions
• Holliday junctions for the Potts model of DNA
• Translation-invariant extreme Gibbs measures for the Blume-Capel model withwand on a Cayley tree
• Gibbs Measures on Cayley Trees
• Translation-Invariant Gibbs Measures for the Blum-Kapel Model on a Cayley Tree