Approximate stochastic localization plus conductance transfers yield a weak Poincaré inequality for the SK model at β < 1/2, enabling efficient Glauber sampling from a warm start.
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For any fixed β, there exists a system-size-independent external field θ such that Glauber dynamics on the SK model mixes in polynomial time with high probability.
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Weak Poincar\'e Inequalities via Approximate Stochastic Localization: Application to Sampling the Sherrington-Kirkpatrick Model
Approximate stochastic localization plus conductance transfers yield a weak Poincaré inequality for the SK model at β < 1/2, enabling efficient Glauber sampling from a warm start.
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Mixing of Glauber Dynamics on High Overlap Gibbs Measures
For any fixed β, there exists a system-size-independent external field θ such that Glauber dynamics on the SK model mixes in polynomial time with high probability.