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cs.DM2018
Sampling in Uniqueness from the Potts and Random-Cluster Models on Random Regular Graphs
Antonio Blanca, Andreas Galanis, Leslie Ann Goldberg +3
We consider the problem of sampling from the Potts model on random regular graphs. It is conjectured that sampling is possible when the temperature of the model is in the uniquenes…
cs.DM2018
Uniqueness for the 3-State Antiferromagnetic Potts Model on the Tree
Andreas Galanis, Leslie Ann Goldberg, Kuan Yang
The antiferromagnetic -state Potts model is perhaps the most canonical model for which the uniqueness threshold on the tree is not yet understood, largely because of the absence…