Scaling limit and cube-root fluctuations in SOS surfaces above a wall
From MaRDI portal
Publication:280288
DOI10.4171/JEMS/606zbMath1344.60091arXiv1302.6941MaRDI QIDQ280288
Allan Sly, Eyal Lubetzky, Pietro Caputo, Fabio Lucio Toninelli, Fabio Martinelli
Publication date: 9 May 2016
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.6941
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Functional limit theorems; invariance principles (60F17) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)
Related Items
Critical prewetting in the 2d Ising model, Harmonic pinnacles in the discrete Gaussian model, Confinement of Brownian polymers under geometric area tilts, Solid-on-solid interfaces with disordered pinning, Wetting and layering for solid-on-solid I: identification of the wetting point and critical behavior, Entropic repulsion in \(|\nabla \phi |^p\) surfaces: a large deviation bound for all \(p\geq 1\), On the probability of staying above a wall for the \((2+1)\)-dimensional SOS model at low temperature, Typical height of the \((2+1)\)-D solid-on-solid surface with pinning above a wall in the delocalized phase, Approximate domain Markov property for rigid Ising interfaces, Scaling limit for line ensembles of random walks with geometric area tilts, Entropic repulsion of 3D Ising interfaces conditioned to stay above a floor, Tightness and Line Ensembles for Brownian Polymers Under Geometric Area Tilts, Formation of Facets for an Effective Model of Crystal Growth, Dyson Ferrari-Spohn diffusions and ordered walks under area tilts, Tightness and tails of the maximum in 3D Ising interfaces, Local and global geometry of the 2D Ising interface in critical prewetting, Wetting and layering for solid-on-solid. II: Layering transitions, Gibbs states, and regularity of the free energy, Interaction versus entropic repulsion for low temperature Ising polymers, The Airy2 process and the 3D Ising model