Sampling on Lattices with Free Boundary Conditions Using Randomized Extensions.

SODA '16: Symposium on Discrete Algorithms Arlington Virginia January, 2016, pp. 1952-1971, 2016.

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Abstract:

Many statistical physics models are defined on an infinite lattice by taking appropriate limits of finite lattice regions, where a key consideration is how the boundaries are defined. For several models on planar lattices, such as 3-colorings and lozenge tilings, efficient sampling algorithms are known for regions with fixed boundary cond...More

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