On the high temperature phase of the Sherrington-Kirkpatrick model.

DOI10.1214/aop/1020107771zbMath1046.82019OpenAlexW2031332582MaRDI QIDQ1872262

Michel Talagrand

Publication date: 6 May 2003

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1020107771

zbMATH Keywords

spin glassreplica symmetryParisi solution

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items

A simplified Parisi ansatz, Replica symmetry breaking in multi-species Sherrington-Kirkpatrick model, A replica-coupling approach to disordered pinning models, Replica symmetry breaking in mean-field spin glasses through the Hamilton–Jacobi technique, Some properties of the phase diagram for mixed \(p\)-spin glasses, The Ising-Sherrington-Kirpatrick model in a magnetic field at high temperature

Cites Work

• The Sherrington-Kirkpatrick model: A challenge for mathematicians
• Replica symmetry breaking and exponential inequalities for the Sherrington-Kirkpatrick model.
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