2009/11/23 by Sourav Chatterjee, Chatterjee, Sourav · 1 citation
Economics, Econometrics and Finance · Materials Science · Mathematics · Physics and Astronomy · #60K35 #82B44 #Complex Systems and Time Series Analysis #FOS: Mathematics #FOS: Physical sciences #Material Dynamics and Properties #Mathematical Physics (math-ph) #Probability (math.PR) #Theoretical and Computational Physics #math-ph #math.MP #math.PR #msc:60K35 #msc:82B44
paper · pdf · doi:10.48550/arxiv.0911.4520
7 pages
arxiv created 2009/11/23 · openalex publication_date 2009/11/23 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Ghirlanda-Guerra identities are one of the most mysterious features of spin glasses. We prove the GG identities in a large class of models that includes the Edwards-Anderson model, the random field Ising model, and the Sherrington-Kirkpatrick model in the presence of a random external field. Previously, the GG identities were rigorously proved only `on average' over a range of temperatures or under small perturbations.