Decay of correlations in random-cluster models
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Publication:1374659
DOI10.1007/S002200050211zbMath0888.60084OpenAlexW1974060486MaRDI QIDQ1374659
Marcelo S. T. Piza, Geoffrey R. Grimmett
Publication date: 10 December 1997
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002200050211
two-point correlation functionPotts modelsexponential decayfirst-passage problemrandom-cluster models
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
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The phase transitions of the planar random-cluster and Potts models with \(q \geq 1\) are sharp ⋮ A new computation of the critical point for the planar random-cluster model with \(q\geq1\) ⋮ Random-cluster representation of the Blume-Capel model ⋮ The phase transitions of the random-cluster and Potts models on slabs with \(q \geq 1\) are sharp ⋮ Surface order large deviations for 2D FK-percolation and Potts models ⋮ The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\) ⋮ Unions of random walk and percolation on infinite graphs
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