Thermodynamic Limit for Spin Glasses. Beyond the Annealed Bound |
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| Authors: | Pierluigi Contucci Shannon Starr |
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| Institution: | 1. Departimento di Matematica, Università di Bologna, 40127, Bologna, Italy
2. Department of Mathematics, University of Rochester, RC Box 270138, Rochester, NY, 14627, USA
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| Abstract: | Using a correlation inequality of Contucci and Lebowitz for spin glasses, we demonstrate existence of the thermodynamic limit for finite-dimensional spin glasses, without the assumption of the annealed bound. Using this method we can weaken the hypotheses for this result beyond what exists in the literature. |
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