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Random cluster dynamics for the Ising model is rapidly mixing

We show that the mixing time of Glauber (single edge update) dynamics for the random cluster model at $q=2$ is bounded by a polynomial in the size of the underlying graph. As a consequence, the Swendsen-Wang algorithm for the ferromagnetic Ising model at any temperature has the same polynomial mixing time bound.

preprint2016arXivOpen access
Heng GuoMark Jerrum
Data Structures and Algorithmsmath.PR
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Heng GuoMark Jerrum

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