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Cutoff for the Swendsen-Wang dynamics

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RGMW06 - RGM follow up

The Swendsen-Wang dynamics is an MCMC sampler of the Ising/Potts model, which recolors many vertices at once based on the random-cluster representation of the model. Although widely used in practice due to efficiency, the mixing time of the Swendsen-Wang dynamics is far from being well-understood, mainly because of its non-local behavior. In this talk, we prove cutoff phenomenon for the Swendsen-Wang dynamics on the lattice at high enough temperatures, meaning that the Markov chain exhibits a sharp transition from mixed€ to well-mixed.

Joint work with Allan Sly.




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