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Correlation Inequalities for Spin Glasses

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

A correlation type inequality for spin systems with quenched symmetric random interactions is illustrated and proved. Monotonicity of the pressure with respect to the strength of the interaction for a class of spin glass models is derived. Consequences include existence of the thermodynamic limit for the pressure and bounds on the surface pressure. Conjectured inequalities are discussed.

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