# The mixing time of the lozenge tiling Glauber dynamics

@inproceedings{Laslier2022TheMT, title={The mixing time of the lozenge tiling Glauber dynamics}, author={Benoit Laslier and Fabio Lucio Toninelli}, year={2022} }

. The broad motivation of this work is a rigorous understanding of reversible, local Markov dynamics of interfaces, and in particular their speed of convergence to equilibrium, measured via the mixing time T mix . In the ( d + 1)-dimensional setting, d ≥ 2, this is to a large extent mathematically unexplored territory, especially for discrete interfaces. On the other hand, on the basis of a mean-curvature motion heuristics [24, 12] and simulations (see [8] and the references in [25, 12]), one…

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