The disordered lattice free field pinning model approaching criticality
DOI10.1214/22-AOP1566zbMath1503.60146arXiv1912.10538OpenAlexW2995025837MaRDI QIDQ2139106
Hubert Lacoin, Giambattista Giacomin
Publication date: 17 May 2022
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.10538
critical behaviormultiscale analysisdisorder relevancedisordered pinning modellocalization transitionlattice free field
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Critical phenomena in equilibrium statistical mechanics (82B27) Processes in random environments (60K37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics of \((2+1)\)-dimensional SOS surfaces above a wall: slow mixing induced by entropic repulsion
- Disorder and critical phenomena through basic probability models. École d'Été de Probabilités de Saint-Flour XL -- 2010.
- The martingale approach to disorder irrelevance for pinning models
- Entropic repulsion of the lattice free field. II: The \(0\)-boundary case
- Pinning and disorder relevance for the lattice Gaussian free field
- A general smoothing inequality for disordered polymers
- Smoothing effect of quenched disorder on polymer depinning transitions
- A note on the extremal process of the supercritical Gaussian free field
- The effect of disorder on polymer depinning transitions
- Localization and delocalization of random interfaces
- Finite range decomposition of Gaussian processes
- Quenched and annealed critical points in polymer pinning models
- Walks, walls, wetting, and melting
- Wetting and layering for solid-on-solid I: identification of the wetting point and critical behavior
- Disorder and wetting transition: the pinned harmonic crystal in dimension three or larger
- Enhanced interface repulsion from quenched hard-wall randomness
- Entropic repulsion and the maximum of the two-dimensional harmonic crystal.
- Entropic repulsion of the lattice free field
- Entropic repulsion for the free field: Pathwise characterization in \(d\geq 3\)
- The Derrida-Retaux conjecture on recursive models
- Disorder and critical phenomena: the \(\alpha =0\) copolymer model
- Wetting and layering for solid-on-solid. II: Layering transitions, Gibbs states, and regularity of the free energy
- A note on the discrete Gaussian free field with disordered pinning on \(\mathbb Z^d\), \(d\geq 2\)
- Solid-on-solid interfaces with disordered pinning
- Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger
- Random Walk: A Modern Introduction
- PINNING ON A DEFECT LINE: CHARACTERIZATION OF MARGINAL DISORDER RELEVANCE AND SHARP ASYMPTOTICS FOR THE CRITICAL POINT SHIFT
- Pinning and disorder relevance for the lattice Gaussian Free Field II: The two dimensional case
- Statistical Mechanics of Lattice Systems
- Fractional moment bounds and disorder relevance for pinning models
This page was built for publication: The disordered lattice free field pinning model approaching criticality