DNA melting structures in the generalized Poland-Scheraga model

zbMath1398.92195arXiv1703.10343MaRDI QIDQ4585090

Quentin Berger, Maha Khatib, Giambattista Giacomin

Publication date: 6 September 2018

Full work available at URL: https://arxiv.org/abs/1703.10343

zbMATH Keywords

DNA denaturationpolymer pinning modeltwo-dimensional renewal processescondensation phenomenonnon-Cramér regimesharp deviation estimates

Mathematics Subject Classification ID

Protein sequences, DNA sequences (92D20) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (4)

Strong renewal theorems and local large deviations for multivariate random walks and renewals ⋮ Localization, big-jump regime and the effect of disorder for a class of generalized pinning models ⋮ Influence of disorder on DNA denaturation: the disordered generalized Poland-Scheraga model ⋮ Disorder and denaturation transition in the generalized Poland-Scheraga model

Cites Work

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• Conditional distribution of heavy tailed random variables on large deviations of their sum
• Generalized Poland-Scheraga denaturation model and two-dimensional renewal processes
• Domains of attraction and regular variation in \({\mathbb{R}}^ d\)
• Large deviations for random walks under subexponentiality: The big-jump domain
• Walks, walls, wetting, and melting
• A bivariate local limit theorem
• A bivariate stable characterization and domains of attraction
• Large deviations of sums of independent random variables

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