TAP equations are repulsive

DOI10.1214/22-ECP505zbMath1506.82016arXiv2111.02134OpenAlexW3209501708MaRDI QIDQ2679646

Stephan Gufler, Nicola Kistler, Jan Lukas Igelbrink

Publication date: 23 January 2023

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

Full work available at URL: https://arxiv.org/abs/2111.02134

zbMATH Keywords

spin glassesTAP equations

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) 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)

Related Items (1)

On the concavity of the TAP free energy in the SK model

Cites Work

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• An iterative construction of solutions of the TAP equations for the Sherrington-Kirkpatrick model
• Random matrices: Universality of local eigenvalue statistics up to the edge
• Dynamical approach to the TAP equations for the Sherrington-Kirkpatrick model
• On the Almeida-Thouless transition line in the Sherrington-Kirkpatrick model with centered Gaussian external field
• Criteria for the reality of matrix eigenvalues
• Mean Field Models for Spin Glasses

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