Spin glasses and Stein's method

DOI10.1007/s00440-009-0240-8zbMath1209.82016arXiv0706.3500OpenAlexW2129397584MaRDI QIDQ707606

Sourav Chatterjee

Publication date: 8 October 2010

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3500

zbMATH Keywords

Stein's methodSherrington-Kirkpatrick modelspin glassTAP equationshigh temperature 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

Quantitative stable limit theorems on the Wiener space, The replica symmetric formula for the SK model revisited, Central limit theorems for the energy density in the Sherrington-Kirkpatrick model, On the TAP free energy in the mixed \(p\)-spin models, The TAP-Plefka variational principle for the spherical SK model, TAP approach for multispecies spherical spin glasses II: the free energy of the pure models, Generalized TAP Free Energy, On the concavity of the TAP free energy in the SK model, The TAP free energy for high-dimensional linear regression, Local convexity of the TAP free energy and AMP convergence for \(\mathbb{Z}_2\)-synchronization, On the TAP equations via the cavity approach in the generic mixed \(p\)-spin models, Majority dynamics on trees and the dynamic cavity method, The generalized TAP free energy. II, TAP free energy, spin glasses and variational inference, Dynamical approach to the TAP equations for the Sherrington-Kirkpatrick model, Thouless-Anderson-Palmer equations for the Ghatak-Sherrington mean field spin glass model, On convergence of the cavity and Bolthausen's TAP iterations to the local magnetization, Thouless-Anderson-Palmer equations for generic \(p\)-spin glasses

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