Interfaces for random cluster models

DOI10.1023/A:1022248822844zbMath1046.60092OpenAlexW1563171283MaRDI QIDQ1871888

Jiří Černý, Roman Kotecký

Publication date: 4 May 2003

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022248822844

zbMATH Keywords

interfaceGibbs measurerandom cluster modelgraphical representationPirogov-Sinai theory

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) 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 (4)

Graphical representations for Ising and Potts models in general external fields ⋮ Extrema of 3D Potts interfaces ⋮ Dobrushin interfaces via reflection positivity ⋮ Examples of DLR states which are not weak limits of finite volume Gibbs measures with deterministic boundary conditions

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