The Annals of Probability

On the High Temperature Phase of the Sherrington-Kirkpatrick Model

Michel Talagrand

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Abstract

We prove the validity of the “replica-symmetric” solution of the Sherrington–Kirkpatrick model in a region that (probably) coincides with the region predicted by the physicists.

Article information

Source
Ann. Probab., Volume 30, Number 1 (2002), 364-381.

Dates
First available in Project Euclid: 29 April 2002

Permanent link to this document
https://projecteuclid.org/euclid.aop/1020107771

Digital Object Identifier
doi:10.1214/aop/1020107771

Mathematical Reviews number (MathSciNet)
MR1894111

Zentralblatt MATH identifier
1046.82019

Subjects
Primary: 82D30: Random media, disordered materials (including liquid crystals and spin glasses)
Secondary: 82B44: Disordered systems (random Ising models, random Schrödinger operators, etc.)

Keywords
Replica-symmetry spin glass

Citation

Talagrand, Michel. On the High Temperature Phase of the Sherrington-Kirkpatrick Model. Ann. Probab. 30 (2002), no. 1, 364--381. doi:10.1214/aop/1020107771. https://projecteuclid.org/euclid.aop/1020107771


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References

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