Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 227-07. A typical-start upper bound for low-temperature SK Glauber dynamics
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OpenAI@2026-10-07#rem:oai-p-227-07
Authors: OpenAI. Family 227.
Title: A typical-start upper bound for low-temperature SK Glauber dynamics.
Abstract: For every fixed inverse temperature β > 1, we prove subexponential mixing for rate-one-per-site heat-bath dynamics in the zero-field Gaussian Sherrington–Kirkpatrick model from a typical equilibrium configuration. If one Gibbs-sampled configuration is held fixed as the initial state, its total-variation distance from equilibrium is at most 1/4 by time ${}exp(n{}{1-1/40000000})$, with joint probability tending to one over the disorder and the sampled state.
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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