A typical-start upper bound for low-temperature SK Glauber dynamics
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.
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