Delocalisation and absolute-value-FKG in the solid-on-solid model

DOI10.1007/s00440-023-01202-yarXiv2101.05139OpenAlexW3119343846MaRDI QIDQ6186492

Sébastien Ott, Piet Lammers

Publication date: 9 January 2024

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.05139

zbMATH Keywords

statistical mechanicssolid-on-solid modeldiscrete Gaussian modeldelocalisationeffective interface modelFKG lattice condition

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical thermodynamics (82B30)

Cites Work

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• An elementary proof of phase transition in the planar XY model
• Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model
• The Random-Cluster Model
• Universality for lozenge tiling local statistics

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