Wetting on a wall and wetting in a well: overview of equilibrium properties

DOI10.1016/j.spa.2024.104299arXiv2309.02927WikidataQ129287699 ScholiaQ129287699MaRDI QIDQ6123281

Brune Massoulié, Quentin Berger

Publication date: 4 March 2024

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.02927

zbMATH Keywords

wettingpolymerscentral limit theoremlarge deviationsrandom walkpinning

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) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Cites Work

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• An invariance principle for random walk bridges conditioned to stay positive
• Disorder and critical phenomena through basic probability models. École d'Été de Probabilités de Saint-Flour XL -- 2010.
• Disorder relevance for the random walk pinning model in dimension 3
• On the critical point of the random walk pinning model in dimension \(d=3\)
• Collision local time of transient random walks and intermediate phases in interacting stochastic systems
• Pinning for the critical and supercritical membrane model
• Sharp asymptotic behavior for wetting models in \((1+1)\)-dimension
• Localization and delocalization of random interfaces
• Annealed vs quenched critical points for a random walk pinning model
• Concentration under scaling limits for weakly pinned Gaussian random walks
• Walks, walls, wetting, and melting
• The influence of boundary conditions on solid-on-solid models
• Harmonic crystal on the wall: A microscopic approach
• Large deviations and concentration properties for \(\nabla_\varphi \) interface models
• Pinning of a renewal on a quenched renewal
• Disorder and wetting transition: the pinned harmonic crystal in dimension three or larger
• Weakly pinned random walk on the wall: pathwise descriptions of the phase transition.
• Interface, surface tension and reentrant pinning transition in the \(2\)D Ising model
• A note on wetting transition for gradient fields.
• Surface transition in the collapsed phase of a self-interacting walk adsorbed along a hard wall
• Notes on random walks in the Cauchy domain of attraction
• Scaling limits of equilibrium wetting models in \((1+1)\)-dimension
• A mathematical perspective on metastable wetting
• Pinning and wetting transition for (1\(+\)1)-dimensional fields with Laplacian interaction
• Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger
• Wiener – hopf factorization revisited and some applications
• PINNING ON A DEFECT LINE: CHARACTERIZATION OF MARGINAL DISORDER RELEVANCE AND SHARP ASYMPTOTICS FOR THE CRITICAL POINT SHIFT
• Interacting partially directed self-avoiding walk: a probabilistic perspective
• Solvable Model with a Roughening Transition for a Planar Ising Ferromagnet
• Applied Probability and Queues
• Univariate Stable Distributions
• Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions
• Marginal relevance of disorder for pinning models
• Scaling limits for weakly pinned random walks with two large deviation minimizers

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