1998/07/24 by Stefano Ghirlanda, Francesco Guerra · 3 citations
Mathematics · Physics and Astronomy · #Statistical Mechanics and Entropy #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1088/0305-4470/31/46/006
LaTeX2e, 11 pages. Submitted to Journal of Physics A: Mathematical and General. Also available at http://rerumnatura.zool.su.se/stefano/ms/ghigu.ps
arxiv created 1998/07/24 · openalex publication_date 1998/11/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
For a very general class of probability distributions in disordered Ising spin systems, in the thermodynamical limit, we prove the following property for overlaps among real replicas. Consider the overlaps among s replicas. Add one replica s + 1. Then, the overlap between one of the first s replicas, let us say a , and the added s + 1 is either independent of the former ones, or it is identical to one of the overlaps , with b running among the first s replicas, excluding a . Each of these cases has equal probability .