Mixing time of Markov chains for the 1-2 model

Zhongyang Li

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arXiv · 1703.06121

Mixing time of Markov chains for the 1-2 model

Zhongyang Li

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Abstract

A 1-2 model configuration is a subset of edges of a hexagonal lattice satisfying the constraint that each vertex is incident to 1 or 2 edges. We introduce Markov chains to sample the 1-2 model configurations on 2D hexagonal lattice and prove that the mixing time of these chains is polynomial in the sizes of the graphs for a large class of probability measures.

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Zhongyang Li. 2017-03-17. Mixing time of Markov chains for the 1-2 model. https://arxiv.org/abs/1703.06121

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