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arxiv: 0809.4229 · v2 · pith:4YH7L6GInew · submitted 2008-09-24 · 🧮 math-ph · cond-mat.dis-nn· math.MP

Thermodynamic Limit for Spin Glasses. Beyond the Annealed Bound

classification 🧮 math-ph cond-mat.dis-nnmath.MP
keywords glassesspinannealedboundlimitthermodynamicassumptionavailable
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Using a correlation inequality of Contucci and Lebowitz for spin glasses, we demonstrate existence of the thermodynamic limit for short-ranged spin glasses, under weaker hypotheses than previously available, namely without the assumption of the annealed bound.

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