The shape of the \((2+1)\)D SOS surface above a wall

DOI10.1016/j.crma.2012.07.006zbMath1257.82019arXiv1207.3580OpenAlexW2158132277MaRDI QIDQ456634

Fabio Martinelli, Allan Sly, Eyal Lubetzky, Fabio Lucio Toninelli, Pietro Caputo

Publication date: 16 October 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3580

zbMATH Keywords

shapescaling limitSOS modelSOS surface

Mathematics Subject Classification ID

Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Harmonic pinnacles in the discrete Gaussian model, 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, 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, An invariance principle to Ferrari-Spohn diffusions

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