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Mixing profile for Glauber dynamics of the discrete Gaussian Free Field starting from super-harmonic functions

Alexandre, Bristiel
arXiv (All) · Papers
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probability
We study the convergence rate of the heat-bath Glauber dynamics for the Discrete Gaussian Free Field on arbitrary connected finite graphs. We show that, when starting from super-harmonic initial conditions, the evolution enjoys a strong form of monotonicity. This allows us to get a sharp mixing prof
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