Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 227-08. Critical mixing in the Sherrington–Kirkpatrick model
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OpenAI@2026-10-07#rem:oai-p-227-08
Authors: OpenAI. Family 227.
Title: Critical mixing in the Sherrington–Kirkpatrick model.
Abstract: At the critical inverse temperature β = 1, we determine the worst-start total-variation mixing exponent for single-site heat-bath dynamics in the zero-field Gaussian Sherrington–Kirkpatrick model. The mixing time is $n{}{2/3+o(1)}$ when every site has rate one, or $n{}{5/3+o(1)}$ attempted uniform-site updates, in probability over the disorder.
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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