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A Unified Stability Property in Spin Glasses

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Abstract

Gibbs’ measures in the Sherrington-Kirkpatrick type models satisfy two asymptotic stability properties, the Aizenman-Contucci stochastic stability and the Ghirlanda-Guerra identities, which play a fundamental role in our current understanding of these models. In this paper we show that one can combine these two properties very naturally into one unified stability property.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, 77843-3368, USA

    Dmitry Panchenko

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  1. Dmitry Panchenko
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Correspondence to Dmitry Panchenko.

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Communicated by F. Toninelli

Partially supported by NSF grant.

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Panchenko, D. A Unified Stability Property in Spin Glasses. Commun. Math. Phys. 313, 781–790 (2012). https://doi.org/10.1007/s00220-012-1458-3

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