A limit theorem for the covariances of spins in the Sherrington-Kirkpatrick model with an external field

DOI10.1214/009117906000000665zbMath1115.82037arXivmath/0703790OpenAlexW3100943260MaRDI QIDQ879252

Albert Hanen

Publication date: 8 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0703790

zbMATH Keywords

central limit theoremSherrington-Kirkpatrick model

Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (1)

Dynamical approach to the TAP equations for the Sherrington-Kirkpatrick model

Cites Work

• The \(p\)-spin interaction model with external field
• Some rigorous results on the Sherrington-Kirkpatrick spin glass model.
• The Sherrington-Kirkpatrick model of spin glasses and stochastic calculus: The high temperature case
• Fluctuations of the free energy in the REM and the \(p\)-spin SK models
• A limit theorem for spin covariances in the Sherrington-Kirkpatrick model with an external field
• Central limit theorem for fluctuations in the high temperature region of the Sherrington–Kirkpatrick spin glass model
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