Scaling limit of the disordered generalized Poland-Scheraga model for DNA denaturation

DOI10.1007/s00440-024-01304-1zbMath1547.60083MaRDI QIDQ6617184

Alexandre Legrand, Quentin Berger

Publication date: 10 October 2024

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

critical phenomenascaling limitcorrelated disorderDNA denaturationintermediate disorderbivariate renewalsdisorder relevance/irrelevancegeneralized Poland-Scheraga model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Biochemistry, molecular biology (92C40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Biophysics (92C05)

Cites Work

• Hierarchical pinning model in correlated random environment
• Variational characterization of the critical curve for pinning of random polymers
• Sharp critical behavior for pinning models in a random correlated environment
• Fundamentals of Stein's method
• Polynomial chaos and scaling limits of disordered systems
• Disorder and critical phenomena through basic probability models. École d'Été de Probabilités de Saint-Flour XL -- 2010.
• The weak coupling limit of disordered copolymer models
• Influence of spatial correlation for directed polymers
• Disorder relevance at marginality and critical point shift
• The martingale approach to disorder irrelevance for pinning models
• Generalized Poland-Scheraga denaturation model and two-dimensional renewal processes
• The depinning transition in presence of disorder: a toy model
• Disorder and denaturation transition in the generalized Poland-Scheraga model
• Smoothing effect of quenched disorder on polymer depinning transitions
• The effect of disorder on polymer depinning transitions
• A replica-coupling approach to disordered pinning models
• Disordered pinning models and copolymers: Beyond annealed bounds
• On the irrelevant disorder regime of pinning models
• Quenched and annealed critical points in polymer pinning models
• Walks, walls, wetting, and melting
• Effect of disorder on two-dimensional wetting
• One-sided local large deviation and renewal theorems in the case of infinite mean
• Localization transition for a polymer near an interface
• Universality in marginally relevant disordered systems
• Pinning of a renewal on a quenched renewal
• The continuum directed random polymer
• Influence of disorder on DNA denaturation: the disordered generalized Poland-Scheraga model
• Scaling limit of a directed polymer among a Poisson field of independent walks
• The continuum directed polymer in Lévy noise
• The two-dimensional continuum random field Ising model
• From directed polymers in spatial-correlated environment to stochastic heat equations driven by fractional noise in \(1 + 1\) dimensions
• Paracontrolled distribution approach to stochastic Volterra equations
• Patterns in random permutations avoiding some sets of multiple patterns
• The random pinning model with correlated disorder given by a renewal set
• Universality for the pinning model in the weak coupling regime
• Free energy of directed polymers in random environment in \(1+1\)-dimension at high temperature
• The critical curves of the random pinning and copolymer models at weak coupling
• The intermediate disorder regime for directed polymers in dimension \(1+1\)
• Pinning model in random correlated environment: appearance of an infinite disorder regime
• On the critical curves of the pinning and copolymer models in correlated Gaussian environment
• Random walks and Riesz kernels
• Strong renewal theorems and local large deviations for multivariate random walks and renewals
• The continuum disordered pinning model
• Comments on the Influence of Disorder for Pinning Model in Correlated Gaussian Environment
• Asymptotics for a variant of the Mittag–Leffler function
• Ruelle-Perron-Frobenius operator approach to the annealed pinning model with Gaussian long-range correlated disorder
• Finite size scaling for homogeneous pinning models
• Multiparameter Processes
• DNA melting structures in the generalized Poland-Scheraga model
• PINNING ON A DEFECT LINE: CHARACTERIZATION OF MARGINAL DISORDER RELEVANCE AND SHARP ASYMPTOTICS FOR THE CRITICAL POINT SHIFT
• Marginal relevance of disorder for pinning models
• A regularity structure for rough volatility
• Fractional moment bounds and disorder relevance for pinning models
• The critical 2d stochastic heat flow
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Scaling limit of the disordered generalized Poland-Scheraga model for DNA denaturation