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Thermodynamic Limit for Spin Glasses. Beyond the Annealed Bound

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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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Authors and Affiliations

  1. Departimento di Matematica, Università di Bologna, 40127, Bologna, Italy

    Pierluigi Contucci

  2. Department of Mathematics, University of Rochester, RC Box 270138, Rochester, NY, 14627, USA

    Shannon Starr

Authors
  1. Pierluigi Contucci
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  2. Shannon Starr
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Correspondence to Pierluigi Contucci.

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Contucci, P., Starr, S. Thermodynamic Limit for Spin Glasses. Beyond the Annealed Bound. J Stat Phys 135, 1159–1166 (2009). https://doi.org/10.1007/s10955-008-9676-y

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  • DOI: https://doi.org/10.1007/s10955-008-9676-y

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