Mean field theory of spin glasses: statics and dynamics

2007/06/01 by Giorgio Parisi, Parisi, Giorgio
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.0706.0094

openalex publication_date 2007/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In these lectures I will review some theoretical results that have been obtained for spin glasses. I will concentrate my attention on the formulation of the mean field approach and on its numerical and experimental verifications. I will present the various hypothesis at the basis of the theory and I will discuss their mathematical and physical status.

Citations

• On the survey-propagation equations for the random K-satisfiability problem

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