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NotesAI observationThe results presented here were produced primarily by AI and verified by human. Fast Mixing of Glauber Dynamics in the SK Model up to the AT Scale Abstract. This note improves the \((\beta,h)\) fast-mixing boundary for Glauber dynamics in the SK model established by Bandeira A S, Alaoui A E, and Rödder A, from \(h\sim \beta^2\sqrt{\log \beta}\) to the AT-scale \(h\sim \beta\sqrt{\log \beta}\). Abstract. This note gives a counterexample to the conjecture Open Problem 15 in Randomstrasse101: Open Problems of 2024 that the Glauber dynamics mix fast on the SK model with arbitrary external field, w.h.p choice of GOE, for all \(\beta<1\). Study notesSamping via stochastic localizationMarkov DiffusionRandom Matrix TheoryApplied Algebra |