Low-temperature 2D Ising Glauber dynamics from sufficiently biased random initializations rapidly orders into the plus phase for every temperature above critical.
Rapid phase ordering for Ising and Potts dynamics on random regular graphs
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Rapid phase ordering of Ising dynamics on $\mathbb Z^2$
Low-temperature 2D Ising Glauber dynamics from sufficiently biased random initializations rapidly orders into the plus phase for every temperature above critical.