The expansion for the overlap function
Sergio De Carvalho Bezerra
TL;DR
This paper proves a complete expansion for the second moment of the overlap function in the Sherrington-Kirkpatrick model, using cavity method and induction techniques.
Contribution
It provides a new, rigorous expansion formula for the second moment of the overlap, advancing theoretical understanding of the model.
Findings
Complete expansion formula derived for the second moment of the overlap.
Utilizes cavity method and induction arguments for proof.
Enhances theoretical analysis of the SK model.
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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Taxonomy
TopicsHolomorphic and Operator Theory · Mathematical functions and polynomials · Geometry and complex manifolds