2023/11/20 by Stephan Gufler, Gufler, Stephan, Adrien Schertzer +3
Engineering · Materials Science · Physics and Astronomy · #60K35 #82B44 #Block Copolymer Self-Assembly #Characterization and Applications of Magnetic Nanoparticles #FOS: Mathematics #Probability (math.PR) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2311.11924
openalex publication_date 2023/11/20 · openalex created_date 2023/11/23 · openalex updated_date 2026/07/29
We propose a new iterative construction of solutions of the classical TAP equations for the Sherrington-Kirkpatrick model, i.e. with finite-size Onsager correction. The algorithm can be started in an arbitrary point, and converges up to the AT line. The analysis relies on a novel treatment of mean field algorithms through Stein's method. As such, the approach also yields weak convergence of the effective fields at all temperatures towards Gaussians, and can be applied, upon proper alterations, to all models where TAP-like equations and a Stein-operator are available.