About the cavity fields in mean field spin glass models

2003/07/28 by Francesco Guerra, Guerra, Francesco · 1 citation
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Theoretical and Computational Physics #Topological and Geometric Data Analysis #cond-mat.dis-nn

paper · pdf · doi:10.48550/arxiv.cond-mat/0307673

5 pages

arxiv created 2003/07/28 · openalex publication_date 2003/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give the explicit expression of the infinite volume limit for the random overlap structures appearing in the mean field spin glass model. These structures have the expected factorization property for the cavity fields, and enjoy invariance with respect to a large class of random transformations. These properties are typical of the Parisi Ansatz.

Cited by

• Spin Glass Computations and Ruelle’s Probability Cascades

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