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Abstract: We study a single-flip dynamics for the monotone surface in 2+1 dimensionsobtained from a boxed plane partition. The surface is analyzed as a system ofnon-intersecting simple paths. When the flips have a non-zero bias we provethat there is a positive spectral gap uniformly in the boundary conditions andin the size of the system. Under the same assumptions, for a system of size M,the mixing time is shown to be of order M up to logarithmic corrections.



Author: Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli

Source: https://arxiv.org/



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