Exact finite-size scaling of the maximum likelihood spectra in the quenched and annealed Sherrington-Kirkpatrick spin glass

Fine resolution of the discrete eigenvalues at the spectral edge of an $N× N$ random matrix is required in many applications. Starting from a finite-size scaling ansatz for the Stieltjes transform of the maximum likelihood spectrum, we demonstrate that the scaling function satisfies a first-order OD...

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Bibliographic Details
Main Author: Ding Wang, Lei-Han Tang
Format: Article
Language:English
Published: SciPost 2024-10-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.17.4.106