Probability to be positive for the membrane model in dimensions 2 and 3

DOI10.1214/19-ECP245zbMath1488.60082arXiv1810.05062MaRDI QIDQ2316580

Florian Schweiger, Noemi Kurt, Simon Buchholz, Jean-Dominique Deuschel

Publication date: 6 August 2019

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05062

zbMATH Keywords

Gaussian processmembrane modelentropic repulsionrandom interface

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (3)

Pinning for the critical and supercritical membrane model ⋮ Thermodynamic and scaling limits of the non-Gaussian membrane model ⋮ Phase transition for level-set percolation of the membrane model in dimensions \(d \geq 5\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Persistence of iterated partial sums
• An invariance principle for random walk bridges conditioned to stay positive
• Entropic repulsion of the lattice free field. II: The \(0\)-boundary case
• Entropic repulsion for a class of Gaussian interface models in high dimensions
• Localization and delocalization of random interfaces
• Maximum and entropic repulsion for a Gaussian membrane model in the critical dimension
• Scaling limit of the odometer in divisible sandpiles
• Entropic repulsion and the maximum of the two-dimensional harmonic crystal.
• Lower tail probabilities for Gaussian processes.
• Entropic repulsion of the lattice free field
• Entropic repulsion for the free field: Pathwise characterization in \(d\geq 3\)
• Exit times for integrated random walks
• Pinning and wetting transition for (1\(+\)1)-dimensional fields with Laplacian interaction
• The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
• Majorizing measures: The generic chaining
• Estimates for the Green's function of the discrete Bilaplacian in dimensions 2 and 3
• Entropic repulsion for a Gaussian lattice field with certain finite range interaction
• A simple proof of the Gaussian correlation conjecture extended to multivariate gamma distributions
• Royen’s Proof of the Gaussian Correlation Inequality
• On recurrent and transient sets of inhomogeneous symmetric random walks

This page was built for publication: Probability to be positive for the membrane model in dimensions 2 and 3