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Improved Mixing Bounds for the Anti-Ferromagnetic Potts Model on <b>Z</b><sup>2</sup>

Improved Mixing Bounds for the Anti-Ferromagnetic Potts Model on <b>Z</b><sup>2</sup>

Abstract The authors of this paper consider the anti-ferromagnetic Potts model on the the integer lattice Z 2 . The model has two parameters: q , the number of spins, and Ī» = exp(āˆ’Ī²), where Ī² 4 is ā€˜inverse temperatureā€™. It is known that the model has strong spatial mixing ā€¦