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The uniqueness regime of Gibbs fields with unbounded disorder

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Abstract

We consider lattice spin systems with short-range but random and unbounded interactions. We give an elementary proof of uniqueness of Gibbs measures at high temperature or strong magnetic fields, and of the exponential decay of the corresponding quenched correlation functions. The analysis is based on the study of disagreement percolation (as initiated by van den Berg and Maes).

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Communicated by J. L. Lebowitz

Partially supported by EC grant CHRX-CT93-0411.

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Gielis, G., Maes, C. The uniqueness regime of Gibbs fields with unbounded disorder. J Stat Phys 81, 829–835 (1995). https://doi.org/10.1007/BF02179259

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