Mixing Time for Glauber Dynamics on Lozenge Tilings

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Lozenge tilings are a well-studied effective model for interface between phases in statistical physics model. In particular they correspond exactly to the interfaces of the Ising model on Z 3 at zero temperature. I will present accurate results on the mixing time for the natural Glauber dynamics on this model in the case where the equilibrium interface has a nontrivial shape.







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microsoft research