98-65 Massimo Campanino

Strict Inequality for Critical Percolation Values in Frustrated Random Cluster Models (25K, PlainTex) Feb 19, 98

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Abstract. We establish an inequality between the critical percolation value of frustraded random cluster models and that of an unfrustrated model where the free occupation probabilities of some bonds are strictly decreased. Using the FK representation this gives an inequality between the critical temperatures of the corresponding spin models. In this way we can prove a strict inequality between critical temperatures for symmetry breaking of some frustrated Ising models and the corresponding ferromagnetic models.

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