The expansion for the overlap function

2008/04/08 by Sérgio de Carvalho Bezerra, Sergio De Carvalho Bezerra, Bezerra, Sergio De Carvalho
Mathematics · #60k35 (Primary) 82D30 #82B44 (Secondary) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #Mathematical functions and polynomials #Probability (math.PR) #math.PR #msc:60k35 #msc:82B44 #msc:82D30

paper · pdf · doi:10.48550/arxiv.0804.1339

20 pages

arxiv created 2008/04/08 · openalex publication_date 2008/04/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, it is proved the complete expansion for the second moment of the overlap function for the Sherrington-Kirkpatrick model. It is a technical result which takes advantage of the cavity method and other induction arguments.

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