Bounds on the covariance matrix of the Sherrington-Kirkpatrick model

DOI10.1214/24-ECP582zbMATH Open1547.82032MaRDI QIDQ6597234

Ahmed El Alaoui, [[Person:6115361|Author name not available (Why is that?)]]

Publication date: 3 September 2024

Published in: Electronic Communications in Probability (Search for Journal in Brave)

zbMATH Keywords

spin glassesSherrington-Kirkpatrick modelTAP free energy

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• A very simple proof of the LSI for high temperature spin systems
• Dynamical approach to the TAP equations for the Sherrington-Kirkpatrick model
• On convergence of the cavity and Bolthausen's TAP iterations to the local magnetization
• Log concavity and concentration of Lipschitz functions on the Boolean hypercube
• A spectral condition for spectral gap: fast mixing in high-temperature Ising models
• The Parisi formula has a unique minimizer
• High-Dimensional Probability
• The Sherrington-Kirkpatrick Model
• Generalized TAP Free Energy
• The two point function of the SK model without external field at high temperature
• Local convexity of the TAP free energy and AMP convergence for \(\mathbb{Z}_2\)-synchronization

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