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The Sherrington-Kirkpatrick Model: An Overview

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Abstract

The goal of this paper is to review some of the main ideas that emerged from the attempts to confirm mathematically the predictions of the celebrated Parisi ansatz in the Sherrington-Kirkpatrick model. We try to focus on the big picture while sketching the proofs of only a few selected results, but an interested reader can find most of the missing details in Panchenko (The Sherrington-Kirkpatrick Model, Manuscript, 2012) and Talagrand (Mean-Field Models for Spin Glasses, Springer, Berlin, 2011).

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  1. Texas A&M University, Mailstop 3386, College Station, TX, 77843, USA

    Dmitry Panchenko

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  1. Dmitry Panchenko
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Correspondence to Dmitry Panchenko.

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The author is partially supported by NSF grant.

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Panchenko, D. The Sherrington-Kirkpatrick Model: An Overview. J Stat Phys 149, 362–383 (2012). https://doi.org/10.1007/s10955-012-0586-7

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