Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 217-01. The low-temperature Sherrington–Kirkpatrick free-energy limiting law
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OpenAI@2026-10-07#rem:oai-p-217-01
Authors: OpenAI. Family 217.
Title: The low-temperature Sherrington–Kirkpatrick free-energy limiting law.
Abstract: For every fixed inverse temperature β > 1, we prove that the zero-field Gaussian Ising Sherrington–Kirkpatrick free energy, centered by its expectation and divided by its standard deviation, converges in distribution to a nondegenerate law as the system size tends to infinity through all integers. We also prove that its variance divided by n1/3 converges to a finite positive constant.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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