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Stochastic dynamics of discrete interfaces and dimer models

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If you have a question about this talk, please contact John Shimmon.

We will study some effective models, called dimer models, for the interface between two coexisting thermodynamical phases in three dimension. We will show in a relatively general setup that the time needed for the system to reach equilibrium is of order L^(2+o(1)), where L is the typical length scale of the system. The exponent 2 is optimal. More precisely, for surfaces attached to a curve drawn in some plane, we will control the mixing time for several models, including lozenge tilings and domino tilings. For surfaces attached to a general curve, we will only work with lozenges and use a weaker notion of “macroscopic” convergence.

This talk is part of the Probability series.

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