Analyticity and mixing properties for random cluster model with \(q >0\) on \(\mathbb Z^{ d }\)
DOI10.1007/S10955-006-9117-8zbMath1113.82014OpenAlexW2068135406MaRDI QIDQ852052
Aldo Procacci, Benedetto Scoppola
Publication date: 27 November 2006
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-006-9117-8
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)
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Cites Work
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- Interfaces in the Potts model. I: Pirogov-Sinai theory of the Fortuin- Kasteleyn representation
- Cluster expansion for abstract polymer models
- Polymer gas approach to \(N\)-body lattice systems
- Potts model on infinite graphs and the limit of chromatic polynomials
- The random cluster model on a general graph and a phase transition characterization of nonamenability
- Analyticity of the \(d\)-dimensional bond percolation probability around \(p=1\)
- Ornstein-Zernike behavior for the Bernoulli bond percolation on \(\mathbb{Z}^d\) in the supercritical regime
- Explicit isoperimetric constants and phase transitions in the random-cluster model
- Surface order large deviations for Ising, Potts and percolation models
- The stochastic random-cluster process and the uniqueness of random-cluster measures
- Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
- Bounds on the Complex Zeros of (Di)Chromatic Polynomials and Potts-Model Partition Functions
- The Random-Cluster Model
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