Abstract
We study the Random Cluster Model on ℤd for p near either 0 or 1 and for all q > 0 and we prove by mean of cluster expansion methods the analyticity of the pressure and finite connectivities in both regimes. These results are valid also in the regime q < 1 and they imply that percolation probability is strictly less than 1.
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Procacci, A., Scoppola, B. Analyticity and Mixing Properties for Random Cluster Model with q >0 on ℤd . J Stat Phys 123, 1285–1310 (2006). https://doi.org/10.1007/s10955-006-9117-8
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DOI: https://doi.org/10.1007/s10955-006-9117-8