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Abstract
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We show that the two point correlation matrix
of the
Sherrington–Kirkpatrick model with zero external field satisfies
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in probability, in the full high temperature regime
. Here,
denotes the GOE interaction matrix of the model.
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Keywords
mean field spin glasses, random matrices,
Sherrington–Kirkpatrick model
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Mathematical Subject Classification
Primary: 60K35, 82B44, 82D30
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Milestones
Received: 26 January 2023
Revised: 3 October 2023
Accepted: 21 October 2023
Published: 30 January 2024
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