Pinning and wetting transition for (1\(+\)1)-dimensional fields with Laplacian interaction

DOI10.1214/08-AOP395zbMath1179.60066arXivmath/0703434MaRDI QIDQ2519687

Francesco Caravenna, Jean-Dominique Deuschel

Publication date: 27 January 2009

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703434

zbMATH Keywords

phase transitionlocal limit theoremPerron-Frobenius theoremMarkov renewal theoryentropic repulsionpinning modelwetting model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (32)

Exponential decay of covariances for the supercritical membrane model ⋮ Pinning for the critical and supercritical membrane model ⋮ Estimates for the Green's function of the discrete Bilaplacian in dimensions 2 and 3 ⋮ Unnamed Item ⋮ A variational formula for the free energy of the partially directed polymer collapse ⋮ Persistence of iterated partial sums ⋮ Random-field random surfaces ⋮ Universality for persistence exponents of local times of self-similar processes with stationary increments ⋮ The scaling limit of the membrane model ⋮ Scaling limit of semiflexible polymers: a phase transition ⋮ Invariance principles for integrated random walks conditioned to stay positive ⋮ Wetting on a wall and wetting in a well: overview of equilibrium properties ⋮ Stationary measures for the log-gamma polymer and KPZ equation in half-space ⋮ Universality of the asymptotics of the one-sided exit problem for integrated processes ⋮ On the free energy of a Gaussian membrane model with external potentials ⋮ The scaling limits of a heavy tailed Markov renewal process ⋮ Positivity of integrated random walks ⋮ Limit theorems for random walk excursion conditioned to enclose a typical area ⋮ On the maximum of conditioned random walks and tightness for pinning models ⋮ Exit times for integrated random walks ⋮ On the centre of mass of a random walk ⋮ On the probability that integrated random walks stay positive ⋮ Scaling limits of (\(1+1\))-dimensional pinning models with Laplacian interaction ⋮ Scaling limits of weakly asymmetric interfaces ⋮ A polymer in a multi-interface medium ⋮ Some rigorous results on semiflexible polymers. I: Free and confined polymers ⋮ Persistence Probabilities and Exponents ⋮ Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension ⋮ Probability to be positive for the membrane model in dimensions 2 and 3 ⋮ Local asymptotics for the area of random walk excursions ⋮ The scaling limits of the non critical strip wetting model ⋮ Maximum of the membrane model on regular trees

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Poland-Scheraga models and the DNA denaturation transition
• Some rigorous results on semiflexible polymers. I: Free and confined polymers
• Sharp asymptotic behavior for wetting models in \((1+1)\)-dimension
• Smoothing effect of quenched disorder on polymer depinning transitions
• Entropic repulsion for a class of Gaussian interface models in high dimensions
• The effect of disorder on polymer depinning transitions
• A replica-coupling approach to disordered pinning models
• Disordered pinning models and copolymers: Beyond annealed bounds
• Localization and delocalization of random interfaces
• Pinning of polymers and interfaces by random potentials
• On the irrelevant disorder regime of pinning models
• Walks, walls, wetting, and melting
• Quelques propriétés spectrales des opérateurs positifs. (Some spectral properties of positive operators)
• Sur le premier instant de passage de l'intégrale du mouvement brownien. (The first passage time for the integrated Brownian motion)
• Distribution of some functionals of the integral of a random walk
• Weakly pinned random walk on the wall: pathwise descriptions of the phase transition.
• Lower tail probabilities for Gaussian processes.
• Scaling limits of (\(1+1\))-dimensional pinning models with Laplacian interaction
• A renewal theory approach to periodic copolymers with adsorption
• Scaling limits of equilibrium wetting models in \((1+1)\)-dimension
• A winding problem for a resonator driven by a white noise
• General Irreducible Markov Chains and Non-Negative Operators
• Wiener – hopf factorization revisited and some applications
• Applied Probability and Queues
• Entropic repulsion for a Gaussian lattice field with certain finite range interaction

This page was built for publication: Pinning and wetting transition for (1\(+\)1)-dimensional fields with Laplacian interaction