Preprint in the OpenAI Math release
A typical-start upper bound for low-temperature SK Glauber dynamics
OpenAI
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 , with joint probability tending to one over the disorder and the sampled state.
open until 1 Jan 2028
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